Podcasts about nonlinear dynamics

Paul's background:  thirty years as a physicist in university physics departments followed by a move to industry until retirement. Principal Research Scientist, Nonlinear Dynamics/Chaos Theory, Plasma Fusion Center MIT, 1990-1997 Principal Research Scientist, LIGO project, Nonlinear Dynamics/Chaos Theory, Dept. of Physics MIT, 1980-1990 Postdoctoral Fellow, Neutrino Experiment, Dept. of Physics, CalTech, 1976 -1979 PhD student, experimental High Energy Physics, Dept. of Physics, University of Chicago, 1970-1976 Math student, MIT, 1965-1969 00:00 Introduction to CO2 and Climate Impact 00:13 Guest Introduction: Paul Linsay's Academic Journey 04:18 Transition to Climate Science 05:26 Critique of Climate Models 06:19 Nonlinear Dynamics and Chaos Theory 12:31 Climate Model Assumptions and Predictions 13:38 Parameterization in Climate Models 28:22 Blackbody Earth and Atmospheric Heating 35:29 Surface Heating and Cooling Dynamics 36:13 Isothermal Atmosphere and Greenhouse Gases 37:23 Analyzing Greenhouse Gas Effects 38:57 Energy Calculations and Molecular Heat 42:25 Climate Models and Radiation 49:24 Convection and Historical Perspectives 55:15 Summary and Final Thoughts 56:58 Q&A and Closing Remarks Paul's paper and a podcast transcript are published here: https://tomn.substack.com/p/podcast-summaries ======== AI summaries of all of my podcasts: https://tomn.substack.com/p/podcast-summaries My Linktree: https://linktr.ee/tomanelson1 YouTube: https://www.youtube.com/playlist?list=PL89cj_OtPeenLkWMmdwcT8Dt0DGMb8RGR X: https://twitter.com/TomANelson Substack: https://tomn.substack.com/ About Tom: https://tomn.substack.com/about

This episode features Part 1 of a stimulating discussion between Dr. Nataraj (host) and Prof. Giuseppe Rega.  Prof. Rega is a Professor Emeritus at Sapienza University in Rome, Italy, and is a prolific and noted scholar with many publications in nonlinear dynamics.  His work ranges over a number of diverse areas including structural mechanics, controls and exploiting nonlinearity.  In this episode, we discuss the history of nonlinear dynamics, the current state of the art as well as possible future directions.  We laud many current developments but even complain about some directions!  The discussion is split into Parts 1 and 2.  Please tune in to Episode 6 for Part 2.http://nodycast.org

This episode features Part 2 of a stimulating discussion between Dr. Nataraj (host) and Prof. Giuseppe Rega.  Prof. Rega is a Professor Emeritus at Sapienza University in Rome, Italy, and is a prolific and noted scholar with many publications in nonlinear dynamics.  His work ranges over a number of diverse areas including structural mechanics, controls and exploiting nonlinearity.  In this episode, we discuss the history of nonlinear dynamics, the current state of the art as well as possible future directions.  We laud many current developments but even complain about some directions!  The discussion is split into Parts 1 and 2.  Please check Episode 5 for Part 1.http://nodycast.org

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.07.06.547922v1?rss=1 Authors: Li, Q., Calhoun, V., Pham, T., Iraji, A. Abstract: Much of the complexity and diversity found in nature are driven by nonlinear phenomena, and this holds true for the relationship between nonlinear dynamics and the brain. Computer simulations have revealed that many biological systems, including the brain, exhibit near chaotic behavior. Nonlinear dynamics theory has been successfully utilized in explaining brain functions from a biophysics standpoint, and the field of statistical physics continues to make substantial progress in understanding brain connectivity and function. This study delves into complex brain functional connectivity using biophysical nonlinear dynamics approaches. We aim to uncover hidden information in high-dimensional and nonlinear neural signals, with the hope of providing a useful tool for analyzing information transitions in functionally complex networks. By utilizing phase portraits and fuzzy recurrence plots, we investigated the latent information in the functional connectivity of complex brain networks. Our numerical experiments, which include synthetic linear dynamics neural time series, a physically realistic nonlinear dynamics model, and a biophysically realistic neural mass model, showed that phase portraits and fuzzy recurrence plots are highly sensitive to changes in neural dynamics, and they can also be used to predict functional connectivity based on structural connectivity. Furthermore, the results showed that phase trajectories of neuronal activity encode low-dimensional dynamics, and the geometric properties of the limit-cycle attractor formed by the phase portraits can be used to explain the neurodynamics. Additionally, our results showed that the phase portrait and fuzzy recurrence plots can capture functional connectivity in the brain using real fMRI data, and both metrics were able to capture and explain nonlinear dynamics behavior during specific cognitive tasks. In conclusion, our findings suggest that phase portraits and fuzzy recurrence plots could be highly effective as functional connectivity descriptors, providing valuable insights into nonlinear dynamics in the brain. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC

Today we have the former chief scientist of NASA's Human Research Program, Dr. Mark Shelhamer. Mark specializes in neurovestibular adaptation to spaceflight. He is an otolaryngology professor at Johns Hopkins School of Medicine and the director of the school's Human Spaceflight Lab. He also the director and founder of the Bioastronautics at Hopkins initiative. In addition to his work with NASA, Mark is an advisor to the commercial and consumer spaceflight industry. In today's interview, we talk to Mark about some of this work, as well as the research he conducted on the first all-civilian crew that successfully orbited the Earth for three days in a SpaceX capsule. We mostly talk to Mark, however, about how the harsh conditions of space imperil humans. We have a fascinating discussion about Mark's role in NASA's planned human mission to Mars and how he is investigating ways to maintain the health and performance of astronauts on such a long-duration spaceflight.  We also discuss how the lessons Mark is learning about how the lessons of human spaceflight can be applied to healthcare on Earth. Show notes: [00:02:42] Dawn starts the interview mentioning that Mark grew up in Philadelphia in the ‘70s. She asks Mark what he was like as a kid. [00:03:32] Dawn asks if it is true that Mark played drums in a band in school. [00:03:54] Ken asks Mark to talk about an uncle who was key in fostering Mark's interest in math and science. [00:05:31] Ken mentions that Mark was only 10 years old when he took up an interest in electronics and asks what sparked that and what electronics he specifically found interesting. [00:08:14] Dawn mentions that Mark attended Drexel University and initially wanted to become an electrical engineer but changed his mind somewhere along the way. Dawn asks what caused this shift. [00:10:20] Ken asks Mark why he selected to attend MIT after Drexel. [00:13:52] Ken asks Mark how he ended up at Johns Hopkins after finishing his studies at MIT. [00:15:52] Dawn mentions that when Mark arrived at Johns Hopkins as a postdoc fellow in 1990, he continued the research he had been doing at MIT on sensory motor physiology and modeling, including astronaut adaptation to space flight. Dawn asks Mark to give an overview of this research as well as how he tracked back into studying astronauts. [00:17:15] Ken mentions Mark's 2007 book “Nonlinear Dynamics in Physiology: A State-Space Approach,” which provides mathematical-computational tools for analyzing experimental data. Ken asks Mark to talk about the book and its goals. [00:20:43] Ken mentions that Mark has done quite a bit of research into motion sickness and vestibular issues, and asks about his more recent work on Space Motion Sickness. [00:24:53] Dawn explains that on Mark's Wikipedia page, there's a reference to his pioneering work on a multidisciplinary approach to human space flight research. She asks Mark to give an overview of this work. [00:29:17] Dawn explains that spaceflight has widespread effects on many different body systems at the same time, and that Mark has been an advocate for developing approaches to examining all these interactions in a rigorous way. Dawn asks if Mark feels that we should be taking this rigorous multidisciplinary approach and applying it to terrestrial medicine as well. [00:34:08] Ken asks Mark to talk about some of the progress he has made in convincing certain groups that they need to embrace a multidisciplinary approach to their research. [00:38:37] Dawn mentions that getting people, especially groups, to change their approach to research can be a daunting task. She goes on to mention that Mark has been quoted as saying “If there's one thing I'm known for, it's banging my head against the wall trying to convince people to do integrative research.” Dawn asks Mark how many scars he has on his forehead from these efforts. [00:43:00] Dawn asks Mark to talk about his informal experti...

"Easy Physics" is a podcast that delves into the bizarre and fascinating world of this amazing science. Join us as we use humor and plain language to explore many foundamental principles, and learn about each one of them in a few minutes. From particles that exist in multiple places at once to the immensity of the cosmos, we'll take a lighthearted look at the most mind-bending concepts in physics.Get amazing T-Shirts on ⁠⁠⁠⁠⁠⁠RevanDesignStore⁠⁠⁠⁠⁠⁠, with free shipping for the US! Hosted on Acast. See acast.com/privacy for more information.

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.04.18.537411v1?rss=1 Authors: Drouillas, B., Brocard, C., zanella, S., Bos, R., Brocard, F. Abstract: Persistent sodium current (INaP) in the spinal locomotor network promotes two distinct nonlinear firing patterns: a self-sustained spiking triggered by a brief excitation in bistable motoneurons and bursting oscillations in interneurons of the central pattern generator (CPG). Here, we identified the NaV channels responsible for INaP and their role in motor behaviors. We report the axonal Nav1.6 as the main molecular player for INaP in lumbar motoneurons. The motoneuronal inhibition of Nav1.6, but not of Nav1.1, impairs INaP, bistability, postural tone and locomotor performance. In interneurons of the CPG region, Nav1.6 with Nav1.1 equally mediate INaP and the inhibition of both channels is required to abolish oscillatory bursting activities and the locomotor rhythm. Overall, Nav1.6 plays a significant role both in posture and locomotion by governing INaP-dependent bistability in motoneurons and working in tandem with Nav1.1 to provide INaP-dependent rhythmogenic properties of the CPG. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2022.09.13.507841v1?rss=1 Authors: Karniol-Tambour, O., Zoltowski, D. M., Diamanti, E. M., Pinto, L., Tank, D. W., Brody, C. W., Pillow, J. W. Abstract: Understanding how multiple brain regions interact to produce behavior is a major challenge in systems neuroscience, with many regions causally implicated in common tasks such as sensory processing and decision making. However, a precise description of interactions between regions remains an open problem. Moreover, neural dynamics are nonlinear, non-stationary, and can vary dramatically across sessions, days, and animals. Here, we propose multi-region, switching dynamical systems (MR-SDS), a probabilistic model of multiple latent interacting systems that evolve with switching nonlinear dynamics and communication between regions. MR-SDS includes directed interactions between brain regions, allowing for estimation of state-dependent communication signals, and accounts for sensory inputs effects, history effects, and heterogeneity across days and animals. We show that our model accurately recovers latent trajectories, vector fields underlying switching nonlinear dynamics, and cross-region communication profiles in two simulations. We then apply our method to two large-scale, multi-region neural datasets involving mouse decision making. The first includes hundreds of neurons per region, recorded simultaneously at single-cell-resolution across 3 distant cortical regions. The second is a mesoscale widefield dataset of 8 adjacent cortical regions imaged across both hemispheres. On these multi-region datasets, our model outperforms existing piece-wise linear multi-region models and reveals multiple distinct dynamical states and a rich set of cross-region communication profiles. Copy rights belong to original authors. Visit the link for more info Podcast created by PaperPlayer

This is the fourth episode of Nodycast, the podcast on nonlinear dynamics and is the second of two parts.  In this episode (Part 2) we continue to discuss chaos theory.  We have an expert panel: Dr. Celso Grebogi (University of Aberdeen, UK), Dr. Laura Gardini (University of Urbino, Italy), Dr. Stefano Lenci (Polytechnical University of Marche, Italy) and Dr. C. Nataraj (Villanova University, USA).  We discuss the history of chaos theory, significant developments, chaos control, unsolved problems, intersection with different fields such as machine learning, Special Issue of the Nonlinear Dynamics journal, etc.  Also discussed are suggestions for possible research in the future.  The conversation is quite broad and even wanders into areas such as literature, history and philosophy.

This is the third episode of Nodycast, the podcast on nonlinear dynamics and is the first of two parts.  In this episode (Part 1) we discuss chaos theory.  We have an expert panel: Dr. Celso Grebogi (University of Aberdeen, UK), Dr. Laura Gardini (University of Urbino, Italy), Dr. Stefano Lenci (Polytechnical University of Marche, Italy) and your host, Dr. C. Nataraj (Villanova University, USA).  We discuss the history of chaos theory, significant developments, chaos control, unsolved problems, intersection with different fields such as machine learning, Special Issue of the Nonlinear Dynamics journal, etc.  Also discussed are suggestions for possible research in the future.  The conversation is quite broad and even wanders into areas such as literature, history and philosophy!

"I don't have one philosophy that covers every student-- I just try to push everybody's buttons and see what happens." Mathematician Steven Strogatz is here. Known not just as a math professor to his students at Cornell University, he is a great explainer of math and why perhaps so many of us —from middle school, high school, and beyond — feel like math drops us and leaves us behind. Using some early disappointing math experiences to illustrate how curiosity and perseverance can prevail, Steven explains to Daniel how his passion for teaching and conveying what he calls “the beauty, the elegance, and the playfulness” of math drives him. He is also on the hunt for an elusive answer to a long-sought question…. Support Talking Beats with Daniel Lelchuk. Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. After graduating summa cum laude in mathematics from Princeton in 1980, Strogatz studied at Trinity College, Cambridge, where he was a Marshall Scholar. He did his doctoral work in applied mathematics at Harvard, followed by a National Science Foundation postdoctoral fellowship at Harvard and Boston University. From 1989 to 1994, Strogatz taught in the Department of Mathematics at MIT. He joined the Cornell faculty in 1994. Strogatz has broad research interests. Early in his career, he worked on a variety of problems in mathematical biology, including the geometry of supercoiled DNA, the dynamics of the human sleep-wake cycle, the topology of three-dimensional chemical waves, and the collective behavior of biological oscillators, such as swarms of synchronously flashing fireflies. In the 1990s, his work focused on nonlinear dynamics and chaos applied to physics, engineering, and biology. Several of these projects dealt with coupled oscillators, such as lasers, superconducting Josephson junctions, and crickets that chirp in unison. In each case, the research involved close collaborations with experimentalists. He also likes branching out into new areas, often with students taking the lead. In the past few years, this has led him into such topics as the role of crowd synchronization in the wobbling of London's Millennium Bridge on its opening day, and the dynamics of structural balance in social systems. He is the author of Nonlinear Dynamics and Chaos (1994), Sync (2003), The Calculus of Friendship (2009), and The Joy of x (2012). His most recent book, Infinite Powers (2019), is a New York Times Best Seller.

The popular conception of ants is that “anatomy is destiny”: an ant's body type determines its role in the colony, for once and ever. But this is not the case; rather than forming rigid castes, ants act like a distributed computer in which tasks are re-allocated as the situation changes. “Division of labor” implies a constant “assembly line” environment, not fluid adaptation to evolving conditions. But ants do not just “graduate” from one task to another as they age; they pivot to accept the work required by their colony in any given moment. In this “agile” and dynamic process, ants act more like verbs than nouns — light on specialization and identity, heavy on collaboration and responsiveness. What can we learn from ants about the strategies for thriving in times of uncertainty and turbulence?What are the algorithms that ants use to navigate environmental change, and how might they inform the ways that we design technologies? How might they teach us to invest more wisely, to explore more thoughtfully?Welcome to COMPLEXITY, the official podcast of the Santa Fe Institute. I'm your host, Michael Garfield, and every other week we'll bring you with us for far-ranging conversations with our worldwide network of rigorous researchers developing new frameworks to explain the deepest mysteries of the universe.In this episode we talk to SFI External Professor Deborah Gordon at Stanford University about the lessons we can learn from insect species whose individuals cannot be trained, but whose collective smarts have reshaped every continent. We muse on what the ants can teach us about a wide variety of real-world and philosophical concerns, including:  how our institutions age, how to fight cancer, how to build a more resilient Internet, and why the notion of the “individual” is overdue for renovation…If you value our research and communication efforts, please subscribe to Complexity Podcast wherever you prefer to listen, rate and review us at Apple Podcasts, and/or consider making a donation at santafe.edu/podcastgive. You can find numerous other ways to engage with us at santafe.edu/engage. Thank you for listening!Join our Facebook discussion group to meet like minds and talk about each episode.Podcast theme music by Mitch Mignano.Follow us on social media:Twitter • YouTube • Facebook • Instagram • LinkedInKey Links:Deborah Gordon at StanfordDeborah's TED Talk, "What Ants Can Teach Us About Brain Cancer and The Internet"Deborah's Google Scholar PageDeborah's book, Ants at Work: How an Insect Society is OrganizedFurther Exploration:Complexity 10 with Melanie Moses (ants, scaling, and computation)Complexity 29 with David Krakauer (catastrophe and investment strategy)Complexity 56 with J. Doyne Farmer (market ecology)Krakauer, et al., "The Information Theory of Individuality"W. Brian Arthur, "Economics in Nouns & Verbs"Michael Lachmann's research on Costly Signaling and Cancer 

What a better way to celebrate Independence Day than watching America's favorite child nerd, Young Sheldon. Ch**k Lo**ie you son of a gun. You made a show of 18 minute long episodes where genuinely nothing happens and CBS just threw more money at you. Baaaaaaazinga. Follow us on Instagram @YNSTPodcast and find us on YouTube for the full YNST experience.

Show Notes(01:59) David recalled his undergraduate experience studying Physics and Mathematics at Duke University back in the early 90s.(05:55) David reflected on his decision to pursue a Ph.D. in Physics at the University of Maryland, College Park, specializing in Nonlinear Dynamics and Chaos Theory.(10:18) David unpacked his Nature paper called “Topology in Chaotic Scattering.”(14:43) David went over his two papers on fractal dimensions in higher-dimensional chaotic scattering following his Nature publication.(21:42) David talked about his project K Desktop Environment, which provides a free, user-friendly desktop for Linux/UNIX systems (later turned into a print book with MacMillan Publishing in 2000).(24:20) David explained the premise behind his work on Andamooka, a site that supports open content.(27:24) David walked over his time as a quantitative analyst at Thales Fund Management after finishing his Ph.D.(30:50) David discussed his 4-year stint at Lehman Brothers — moving up the ladder into a Vice President role, up until Barclay's Capital acquired it.(33:24) David talked about his proudest accomplishment during the 5-year stint as a headdesk in equities trader at KCG/GETCO.(35:37) David shared war stories while working at an investment firm called Teza Technologies and co-founding Galaxy Digital Trading (specializing in cryptocurrency trading).(41:34) David unpacked key concepts covered in his guest lectures on optimization of high-frequency trading systems at NYU Stern School of Business.(44:26) David explained his career change to work as a Machine Learning Engineer at Instagram in the summer of 2019.(47:17) David briefly mentioned his transition back to a quant trader role at 3Red Partners.(48:05) David is writing a technical book with Manning called “Tuning Up,” which provides a toolbox of experimental methods that will boost the effectiveness of machine learning systems, trading strategies, infrastructure, and more.(50:48) David reflected on the benefits of his physics academic background for his quant analyst career.(52:27) Closing segment.David's Contact InfoWebsiteLinkedInTwitterMentioned ContentPublications"Topology In Chaotic Scattering" (Nature, May 1999)"Fractal Dimension of Higher-Dimensional Chaotic Repellors" (June 1999)"Fractal Basin Boundaries in Higher-Dimensional Chaotic Scattering"Book“The Elements of Statistical Learning” (by Trevor Hastie, Robert Tibshirani, and Jerome Friedman)PeopleJim Simons (Founder of Renaissance Technologies)Michael Kearns (Professor at the University of Pennsylvania, previously leading Morgan Stanley's AI Center of Excellence)Vasant Dhar (Professor at NYU Stern School of Business, Founder of SCT Capital)Tuning Up — From A/B testing to Bayesian optimizationManning's permanent 40% discount code (good for all Manning products in all formats) for Datacast listeners: poddcast19.You can refer to this link: http://mng.bz/4MAR.Here are two free eBook codes to get copies of Tuning Up for two lucky Datacast listeners: tngdtcr-AB2C and tngdtcr-6D43You can refer to this link: http://mng.bz/G6Bq.

Show Notes(01:59) David recalled his undergraduate experience studying Physics and Mathematics at Duke University back in the early 90s.(05:55) David reflected on his decision to pursue a Ph.D. in Physics at the University of Maryland, College Park, specializing in Nonlinear Dynamics and Chaos Theory.(10:18) David unpacked his Nature paper called “Topology in Chaotic Scattering.”(14:43) David went over his two papers on fractal dimensions in higher-dimensional chaotic scattering following his Nature publication.(21:42) David talked about his project K Desktop Environment, which provides a free, user-friendly desktop for Linux/UNIX systems (later turned into a print book with MacMillan Publishing in 2000).(24:20) David explained the premise behind his work on Andamooka, a site that supports open content.(27:24) David walked over his time as a quantitative analyst at Thales Fund Management after finishing his Ph.D.(30:50) David discussed his 4-year stint at Lehman Brothers — moving up the ladder into a Vice President role, up until Barclay's Capital acquired it.(33:24) David talked about his proudest accomplishment during the 5-year stint as a headdesk in equities trader at KCG/GETCO.(35:37) David shared war stories while working at an investment firm called Teza Technologies and co-founding Galaxy Digital Trading (specializing in cryptocurrency trading).(41:34) David unpacked key concepts covered in his guest lectures on optimization of high-frequency trading systems at NYU Stern School of Business.(44:26) David explained his career change to work as a Machine Learning Engineer at Instagram in the summer of 2019.(47:17) David briefly mentioned his transition back to a quant trader role at 3Red Partners.(48:05) David is writing a technical book with Manning called “Tuning Up,” which provides a toolbox of experimental methods that will boost the effectiveness of machine learning systems, trading strategies, infrastructure, and more.(50:48) David reflected on the benefits of his physics academic background for his quant analyst career.(52:27) Closing segment.David's Contact InfoWebsiteLinkedInTwitterMentioned ContentPublications"Topology In Chaotic Scattering" (Nature, May 1999)"Fractal Dimension of Higher-Dimensional Chaotic Repellors" (June 1999)"Fractal Basin Boundaries in Higher-Dimensional Chaotic Scattering"Book“The Elements of Statistical Learning” (by Trevor Hastie, Robert Tibshirani, and Jerome Friedman)PeopleJim Simons (Founder of Renaissance Technologies)Michael Kearns (Professor at the University of Pennsylvania, previously leading Morgan Stanley's AI Center of Excellence)Vasant Dhar (Professor at NYU Stern School of Business, Founder of SCT Capital)Tuning Up — From A/B testing to Bayesian optimizationManning's permanent 40% discount code (good for all Manning products in all formats) for Datacast listeners: poddcast19.You can refer to this link: http://mng.bz/4MAR.Here are two free eBook codes to get copies of Tuning Up for two lucky Datacast listeners: tngdtcr-AB2C and tngdtcr-6D43You can refer to this link: http://mng.bz/G6Bq.

This is the second episode of Nodycast, the podcast on nonlinear dynamics and has been split into two parts.  In this episode (Part 2) we continue to discuss nonlinear modeling and dynamic analysis of pandemics, in particular, COVID-19.  We have an expert panel: Dr. Gergely Rost (University of Szeged, Hungary), Dr. Bala Balachandran (University of Maryland), Dr. J. Tenreiro Machado (University of Porto, Portugal) and Dr. C. Nataraj (Villanova University, USA).  We discuss compartment vs. agent-based models, parametric vs. data-based models, seasonality, predictability, control techniques, effect of social behavior, government action, etc.  Also discussed are the issues about data and possible research in the future.   

This is the premier episode of Nodycast, the podcast on nonlinear dynamics and has been split into two parts.  In this episode (Part 1) we discuss nonlinear modeling and dynamic analysis of pandemics, in particular, COVID-19.  We have an expert panel: Dr. Gergely Rost (University of Szeged, Hungary), Dr. Bala Balachandran (University of Maryland), Dr. J. Tenreiro Machado (University of Porto, Portugal) and Dr. C. Nataraj (Villanova University, USA).  We discuss compartment vs. agent-based models, parametric vs. data-based models, seasonality, predictability, control techniques, effect of social behavior, government action, etc.  Also discussed are the issues about data and possible research in the future.  

Tom and Jade speak with Alan Champneys, a Professor of Applied Non-linear Mathematics at the University of Bristol's unique department of Engineering Mathematics. Alan's candid and engaging lecturing style is loved throughout the Engineering faculty, and we talk about this at length in this eclectic conversation. We also cover his technical research and the power of abstract mathematical problem solving, the grand challenges facing engineers of the future, and the importance of open and honest discussion about mental health and wellbeing. To find out more about Engineering Mathematics at Bristol - the UK's top-ranked general engineering programme - head to www.bristol.ac.uk/engineering/depa…ing-mathematics/. Following Alan's recommendation, you can watch Tim Minchin's famous graduation speech at youtu.be/yoEezZD71sc. ---- Engenius is produced by a team of engineering students at the University of Bristol. To ask a question, submit an idea, or just say hi, email us at engeniuspodcast@gmail.com Intro/outro music kindly provided by @yemzo.

Episode 087 - Nonlinear Dynamics, Antifragility, Magnesium Deficiency, Q&AToday, I do some quick hits on topics I have been thinking about lately. Also, I address a few questions I got this week from my facebook group. This is a new format I am tinkering with, so let me know what you think. My name is Hunter Williams. I have a HUGE passion for studying how to optimize health in order to improve cognitive function. I am a former division 1 college football player, and love studying how we can use biohacking and ancestral health protocols to improve our brain and unleash the brain's total horsepower.Video Link: https://youtu.be/UUUFDvnaiD0Youtube Channel: https://www.youtube.com/channel/UCEkqz4gWjlIRaQx_zWgTZqQ?view_as=subscriberEnlightened Masculine Fellowship Facebook Group: https://www.facebook.com/groups/724343234977152 If you join our community:

Microstructures of financial markets, order routing, high-frequency trading, oil prices ..... Prof. Bruce Mizrach is a professor in the Department of Economics at Rutgers University. He has held appointments at Boston College, the Wharton School, the Federal Reserve Bank of New York, and NYU Stern School of business. Bruce is the founder and editor of Studies in Nonlinear Dynamics and Econometrics, which is devoted to using the nonlinear analysis to understand economic and financial markets. His most recent work is on the market microstructure of electronic limit order markets in bonds, equities, and commodity markets. --- Send in a voice message: https://anchor.fm/scientificsense/message Support this podcast: https://anchor.fm/scientificsense/support

In den nächsten Wochen bis zum 20.2.2020 möchte Anna Hein, Studentin der Wissenschaftskommunikation am KIT, eine Studie im Rahmen ihrer Masterarbeit über den Podcast Modellansatz durchführen. Dazu möchte sie gerne einige Interviews mit Ihnen, den Hörerinnen und Hörern des Podcast Modellansatz führen, um herauszufinden, wer den Podcast hört und wie und wofür er genutzt wird. Die Interviews werden anonymisiert und werden jeweils circa 15 Minuten in Anspruch nehmen. Für die Teilnahme an der Studie können Sie sich bis zum 20.2.2020 unter der Emailadresse studie.modellansatz@web.de bei Anna Hein melden. Wir würden uns sehr freuen, wenn sich viele Interessenten melden würden. In the coming weeks until February 20, 2020, Anna Hein, student of science communication at KIT, intends to conduct a study on the Modellansatz Podcast within her master's thesis. For this purpose, she would like to conduct some interviews with you, the listeners of the Modellansatz Podcast, to find out who listens to the podcast and how and for what purpose it is used. The interviews will be anonymous and will take about 15 minutes each. To participate in the study, you can register with Anna Hein until 20.2.2020 at studie.modellansatz@web.de . We would be very pleased if many interested parties would contact us. This is the second of three conversation recorded Conference on mathematics of wave phenomena 23-27 July 2018 in Karlsruhe. Gudrun is in conversation with Mariana Haragus about Benard-Rayleigh problems. On the one hand this is a much studied model problem in Partial Differential Equations. There it has connections to different fields of research due to the different ways to derive and read the stability properties and to work with nonlinearity. On the other hand it is a model for various applications where we observe an interplay between boyancy and gravity and for pattern formation in general. An everyday application is the following: If one puts a pan with a layer of oil on the hot oven (in order to heat it up) one observes different flow patterns over time. In the beginning it is easy to see that the oil is at rest and not moving at all. But if one waits long enough the still layer breaks up into small cells which makes it more difficult to see the bottom clearly. This is due to the fact that the oil starts to move in circular patterns in these cells. For the problem this means that the system has more than one solutions and depending on physical parameters one solution is stable (and observed in real life) while the others are unstable. In our example the temperature difference between bottom and top of the oil gets bigger as the pan is heating up. For a while the viscosity and the weight of the oil keep it still. But if the temperature difference is too big it is easier to redistribute the different temperature levels with the help of convection of the oil. The question for engineers as well as mathematicians is to find the point where these convection cells evolve in theory in order to keep processes on either side of this switch. In theory (not for real oil because it would start to burn) for even bigger temperature differences the original cells would break up into even smaller cells to make the exchange of energy faster. In 1903 Benard did experiments similar to the one described in the conversation which fascinated a lot of his colleagues at the time. The equations where derived a bit later and already in 1916 Lord Rayleigh found the 'switch', which nowadays is called the critical Rayleigh number. Its size depends on the thickness of the configuration, the viscositiy of the fluid, the gravity force and the temperature difference. Only in the 1980th it became clear that Benards' experiments and Rayleigh's analysis did not really cover the same problem since in the experiment the upper boundary is a free boundary to the surrounding air while Rayleigh considered fixed boundaries. And this changes the size of the critical Rayleigh number. For each person doing experiments it is also an observation that the shape of the container with small perturbations in the ideal shape changes the convection patterns. Maria does study the dynamics of nonlinear waves and patterns. This means she is interested in understanding processes which change over time. Her main questions are: Existence of observed waves as solutions of the equations The stability of certain types of solutions How is the interaction of different waves She treats her problems with the theory of dynamical systems and bifurcations. The simplest tools go back to Poincaré when understanding ordinary differential equations. One could consider the partial differential equations to be the evolution in an infinite dimensional phase space. Here, in the 1980s, Klaus Kirchgässner had a few crucial ideas how to construct special solutions to nonlinear partial differential equations. It is possible to investigate waterwave problems which are dispersive equations as well as flow problems which are dissipative. Together with her colleagues in Besancon she is also very keen to match experiments for optical waves with her mathematical analysis. There Mariana is working with a variant of the Nonlinear Schrödinger equation called Lugiato-Lefever Equation. It has many different solutions, e.g. periodic solutions and solitons. Since 2002 Mariana has been Professor in Besancon (University of Franche-Comté, France). Before that she studied and worked in a lot of different places, namely in Bordeaux, Stuttgart, Bucharest, Nice, and Timisoara. References V.A. Getling: Rayleigh-Bénard Convection Structures and Dynamics, Advanced Series in Nonlinear Dynamics, Volume 11, World Scientific, Oxford (1998) P. H. Rabinowitz: Existence and nonuniqueness of rectangular solutions of the Bénard problem. Arch. Rational Mech. Anal. (1968) 29: 32. M. Haragus and G. Iooss: Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Universitext. Springer-Verlag London, Ltd., London; EDP Sciences, Les Ulis, 2011. Newell, Alan C. Solitons in mathematics and physics. CBMS-NSF Regional Conference Series in Applied Mathematics, 48. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1985. Y. K. Chembo, D. Gomila, M. Tlidi, C. R. Menyuk: Topical Issue: Theory and Applications of the Lugiato-Lefever Equation. Eur. Phys. J. D 71 (2017). Podcasts S. Fliss, G. Thäter: Transparent Boundaries. Conversation in the Modellansatz Podcast episode 75, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015. M. Kray, G. Thäter: Splitting Waves. Conversation in the Modellansatz Podcast episode 62, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015. F. Sayas, G. Thäter: Acoustic scattering. Conversation in the Modellansatz Podcast episode 58, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015.

In den nächsten Wochen bis zum 20.2.2020 möchte Anna Hein, Studentin der Wissenschaftskommunikation am KIT, eine Studie im Rahmen ihrer Masterarbeit über den Podcast Modellansatz durchführen. Dazu möchte sie gerne einige Interviews mit Ihnen, den Hörerinnen und Hörern des Podcast Modellansatz führen, um herauszufinden, wer den Podcast hört und wie und wofür er genutzt wird. Die Interviews werden anonymisiert und werden jeweils circa 15 Minuten in Anspruch nehmen. Für die Teilnahme an der Studie können Sie sich bis zum 20.2.2020 unter der Emailadresse studie.modellansatz@web.de bei Anna Hein melden. Wir würden uns sehr freuen, wenn sich viele Interessenten melden würden. In the coming weeks until February 20, 2020, Anna Hein, student of science communication at KIT, intends to conduct a study on the Modellansatz Podcast within her master's thesis. For this purpose, she would like to conduct some interviews with you, the listeners of the Modellansatz Podcast, to find out who listens to the podcast and how and for what purpose it is used. The interviews will be anonymous and will take about 15 minutes each. To participate in the study, you can register with Anna Hein until 20.2.2020 at studie.modellansatz@web.de . We would be very pleased if many interested parties would contact us. This is the second of three conversation recorded Conference on mathematics of wave phenomena 23-27 July 2018 in Karlsruhe. Gudrun is in conversation with Mariana Haragus about Benard-Rayleigh problems. On the one hand this is a much studied model problem in Partial Differential Equations. There it has connections to different fields of research due to the different ways to derive and read the stability properties and to work with nonlinearity. On the other hand it is a model for various applications where we observe an interplay between boyancy and gravity and for pattern formation in general. An everyday application is the following: If one puts a pan with a layer of oil on the hot oven (in order to heat it up) one observes different flow patterns over time. In the beginning it is easy to see that the oil is at rest and not moving at all. But if one waits long enough the still layer breaks up into small cells which makes it more difficult to see the bottom clearly. This is due to the fact that the oil starts to move in circular patterns in these cells. For the problem this means that the system has more than one solutions and depending on physical parameters one solution is stable (and observed in real life) while the others are unstable. In our example the temperature difference between bottom and top of the oil gets bigger as the pan is heating up. For a while the viscosity and the weight of the oil keep it still. But if the temperature difference is too big it is easier to redistribute the different temperature levels with the help of convection of the oil. The question for engineers as well as mathematicians is to find the point where these convection cells evolve in theory in order to keep processes on either side of this switch. In theory (not for real oil because it would start to burn) for even bigger temperature differences the original cells would break up into even smaller cells to make the exchange of energy faster. In 1903 Benard did experiments similar to the one described in the conversation which fascinated a lot of his colleagues at the time. The equations where derived a bit later and already in 1916 Lord Rayleigh found the 'switch', which nowadays is called the critical Rayleigh number. Its size depends on the thickness of the configuration, the viscositiy of the fluid, the gravity force and the temperature difference. Only in the 1980th it became clear that Benards' experiments and Rayleigh's analysis did not really cover the same problem since in the experiment the upper boundary is a free boundary to the surrounding air while Rayleigh considered fixed boundaries. And this changes the size of the critical Rayleigh number. For each person doing experiments it is also an observation that the shape of the container with small perturbations in the ideal shape changes the convection patterns. Maria does study the dynamics of nonlinear waves and patterns. This means she is interested in understanding processes which change over time. Her main questions are: Existence of observed waves as solutions of the equations The stability of certain types of solutions How is the interaction of different waves She treats her problems with the theory of dynamical systems and bifurcations. The simplest tools go back to Poincaré when understanding ordinary differential equations. One could consider the partial differential equations to be the evolution in an infinite dimensional phase space. Here, in the 1980s, Klaus Kirchgässner had a few crucial ideas how to construct special solutions to nonlinear partial differential equations. It is possible to investigate waterwave problems which are dispersive equations as well as flow problems which are dissipative. Together with her colleagues in Besancon she is also very keen to match experiments for optical waves with her mathematical analysis. There Mariana is working with a variant of the Nonlinear Schrödinger equation called Lugiato-Lefever Equation. It has many different solutions, e.g. periodic solutions and solitons. Since 2002 Mariana has been Professor in Besancon (University of Franche-Comté, France). Before that she studied and worked in a lot of different places, namely in Bordeaux, Stuttgart, Bucharest, Nice, and Timisoara. References V.A. Getling: Rayleigh-Bénard Convection Structures and Dynamics, Advanced Series in Nonlinear Dynamics, Volume 11, World Scientific, Oxford (1998) P. H. Rabinowitz: Existence and nonuniqueness of rectangular solutions of the Bénard problem. Arch. Rational Mech. Anal. (1968) 29: 32. M. Haragus and G. Iooss: Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. Universitext. Springer-Verlag London, Ltd., London; EDP Sciences, Les Ulis, 2011. Newell, Alan C. Solitons in mathematics and physics. CBMS-NSF Regional Conference Series in Applied Mathematics, 48. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1985. Y. K. Chembo, D. Gomila, M. Tlidi, C. R. Menyuk: Topical Issue: Theory and Applications of the Lugiato-Lefever Equation. Eur. Phys. J. D 71 (2017). Podcasts S. Fliss, G. Thäter: Transparent Boundaries. Conversation in the Modellansatz Podcast episode 75, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015. M. Kray, G. Thäter: Splitting Waves. Conversation in the Modellansatz Podcast episode 62, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015. F. Sayas, G. Thäter: Acoustic scattering. Conversation in the Modellansatz Podcast episode 58, Department of Mathematics, Karlsruhe Institute of Technology (KIT), 2015.

In this episode, Brendan and Dr. Chris Kulp discuss the tendency for machine learning algorithms and artificial intelligence to be biased. How does this bias lead to a plethora of unintended and dangerous consequences? Dr. Chris Kulp is a Professor of Physics at Lycoming College and an expert in Nonlinear Dynamics and Chaos. He also specializes in machine learning.  Ask us questions in the comments below and we will answer them! If you enjoyed this episode, leave a rating and a review on Apple Podcasts or whatever platform you listen on.  Consider becoming a Patron by subscribing at https://www.patreon.com/thestateoftheuniverse or considering supporting the show via a one time donation at https://www.paypal.me/drachler. For more episodes or information about "The State of The Universe with Brendan Drachler" visit thestateoftheuniverse.com or follow Brendan on Twitter and Instagram @BrendanDrachler.  The music in this episode can be found at https://freebeats.io/.

Episode 56 of The State of The Universe features Dr. Chris Kulp. Dr. Chris Kulp is a Professor of Physics at Lycoming College and an expert in Nonlinear Dynamics and Chaos. He also specializes in machine learning.  In this episode, Brendan and Dr. Kulp discuss machine learning, how we can teach computers to think on their own, artificial intelligence, how your data is being used, how big data enables the future of machine learning, and a bunch more! Figure out how much your data is worth at https://ig.ft.com/how-much-is-your-personal-data-worth/. Ask us questions in the comments below and we will answer them! If you enjoyed this episode, leave a rating and a review on Apple Podcasts or whatever platform you listen on.  Consider becoming a Patron by subscribing at https://www.patreon.com/thestateoftheuniverse or considering supporting the show via a one time donation at https://www.paypal.me/drachler. For more episodes or information about "The State of The Universe with Brendan Drachler" visit thestateoftheuniverse.com or follow Brendan on Twitter and Instagram @BrendanDrachler.  The music in this episode can be found at https://freebeats.io/.

Dr. Chris Kulp is a Professor of Physics at Lycoming College in Williamsport, PA and an avid researcher in the field of nonlinear dynamics and chaos. He specializes in Nonlinear Time Series Analysis. In this episode, we discuss nonlinear and chaotic systems and how he studies them. We also discuss the growing field of machine learning and its applications in industry and academia. Artificial Intelligence and its implications on the work force are also discussed.   For more episodes or information about "The State of The Universe with Brendan Drachler" visit thestateoftheuniverse.com or follow Brendan on Twitter and Instagram @BrendanDrachler.   The State of the Universe is an accessible science and social podcast hosted by Astrophysicist Brendan Drachler. Listen to Brendan and other renowned members of the scientific community discuss and explain the cutting edge research occurring across the world today!

Peter Sage has been a competition level bodybuilder, ran the 250km Sahara Ultramarathon, started many different businesses in alternative markets and he was one of the youngest trainers to ever work with Tony Robbins. He is considered an expert in personal development and now contributes to the world with his business school and training programs. Recently Peter has had a stint in one of the most brutal prisons in the UK for 'contempt of court' which has taught him a lot about himself and how he can best serve the world.  We dive into the world of quantum mechanics, chaos theory, levels of consciousness, contribution over significance, and what people can do to become the greatest version of themselves. Seriously, this a phenomenal episode For more info & to follow Peter: Twitter - @petersage007 Facebook - https://www.facebook.com/PeterSageFan007 Youtube - https://www.youtube.com/user/PeterSag... Website - http://www.petersage.com/    Connect with us on social media Instagram - https://www.instagram.com/infinitepotentialpodcast/ Facebook - https://www.facebook.com/Infinitepotentialpodcast/ Website - https://www.infinitepotentialpodcast.com/ Youtube - https://www.youtube.com/channel/UCQGQQFCQcDivO8_UM4j_tQg/featured?view_as=subscriber    

In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT.

In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs.

In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Simulink, and in the end reviews IVP solutions in Chebfun.

In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes.

In this lecture, Professor Trefethen discusses planetary motions, chaos and Lyapunov exponents, the Lorenz equations, and lastly Sinai billiards and the SIAM 100-digit challenge.

In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun.

In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences.

In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences.

In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions.

In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants

In this lecture, Professor Trefethen discusses Chebyshev spectral discretization.

In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms?

Shrira, V (Keele University) Monday 14 July 2014, 11:00-12:00

This episode is about chaos, or more specifically non-linear dynamics and sensitive dependency on initial conditions. We talk to Harry Swinney and Michael Marder, both from UT Austin's Center for Nonlinear Dynamics. We discuss the basics of chaos, the kinds of systems that exhibit chaotic behavior, fractals, the phase space and the strange attractor. We also discussed practical applications of chaos theory and Harry's and Michael's current work.

* George Sheehan's 'Running and Being' - missing in action * Big guy wearing Shimano cap (the reason for the cover art) * Treadmill running is hard - scientific papers * Alex's swimming lessons - Red Cross Starfish * Runner's Pace Calc for iPhone * New shoes - Mizuno Wave Inspire 6 * Triathlon Canada Level 1 Official's course * Why don't I use commercial music? - Paper references - Baden et al. 2005. Effect of anticipation during unknown or unexpected exercise duration... Br J Sports Med 39.742-746. Billat et al. 2006. Nonlinear Dynamics of Heart Rate and Oxygen Uptake in Exhaustive 10k runs influence... J. Physiol Sci 56.1 103-111 Garcin et al. 2008. Perceptual responses in Free vs Constant Pace Exercise. Int J Sports Med 29.453-459 Lander et al. 2009. Self-paced exercise is less physically challenging. Br. J. Sports Med 43.789-795 - Quotes - "My experience has taught me that you must first, and always, seek the person You Are. And this becoming unfolds through the intensity with which you use your body, through your absorption in play, and through the acceptance of the discipline needed to be an athlete. At all times, you must protect your Self. Maintain a childlike wonder. Aquire, if you can, the ability to be careless, to disregard appearances, to relax, and laugh at the world." George Sheehan " We're just like bugs in a bowl. All day going around never leaving their bowl. I say, That's right! Every day climbing up the steep sides, sliding back. Over and over again. Around and around. Up and back down. Sit in the bottom of the bowl, head in your hands, cry, moan, feel sorry for yourself. Or. Look around. See your fellow bugs. Walk around. Say, Hey, how you doin'? Say, Nice Bowl! " - David Budbill Intro music: 'Heat' by Wheatmonkeys. Used with the permission of the artists. Check them out on iTunes and at wheatmonkeys.com Other Music by Tryad. Find creative commons licensed music at tryad.org. The song was 'You Are God' from the album "Listen". Closing Music: 'Badlands' by Johnny Grit. Used with the permission of the artists. Check them out on iTunes and on MySpace, Twitter, and Facebook The Candotri podcast by Chad Matsalla is licensed under a Creative Commons Attribution 2.5 Canada License. Based on a work at candotri.com. candotri 017 was published on 8 February 2011

Colloquium with Marc Timme: The Research Days are an annual event concentrating on the core competence of Lakeside Labs - Self-organizing Networked Systems. During this workshop organized by Lakeside Labs GmbH in cooperation with the University of Klagenfurt, international experts devote themselves to a special topic in self-organization. This year, between July 12th and 16th, they focused on the question how self-organizing systems can be designed to apply the concept in dedicated applications.