Dynamical systems

Dynamical neuroscience

The dynamical systems approach to neuroscience is a branch of mathematical biology that utilizes nonlinear dynamics to understand and model the nervous system and its functions. In a dynamical system, all possible states are expressed by a phase space. Such systems can experience bifurcation (a qualitative change in behavior) as a function of its bifurcation parameters and often exhibit chaos. Dynamical neuroscience describes the non-linear dynamics at many levels of the brain from single neural cells to cognitive processes, sleep states and the behavior of neurons in large-scale neuronal simulation. Neurons have been modeled as nonlinear systems for decades now, but dynamical systems emerge in numerous other ways in the nervous system. From chemistry, chemical species models like the Gray–Scott model exhibit rich, chaotic dynamics. Dynamic interactions between extracellular fluid pathways reshapes our view of intraneural communication. Information theory draws on thermodynamics in the development of which can involve nonlinear systems, especially with regards to the brain. (Wikipedia).

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The Anatomy of a Dynamical System

Dynamical systems are how we model the changing world around us. This video explores the components that make up a dynamical system. Follow updates on Twitter @eigensteve website: eigensteve.com

From playlist Research Abstracts from Brunton Lab

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Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/

From playlist Data-Driven Dynamical Systems

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Daniel Durstewitz: "Deep Learning of dynamical systems for mechanistic insight and prediction in..."

Computational Psychiatry 2020 "Deep Learning of dynamical systems for mechanistic insight and prediction in psychiatry" Daniel Durstewitz - Ruprecht-Karls-Universität Heidelberg Abstract: Dynamical systems theory (DST) provides a unifying formal language within which many natural and rea

From playlist Computational Psychiatry 2020

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Serhiy Yanchuk - Adaptive dynamical networks: from multiclusters to recurrent synchronization

Recorded 02 September 2022. Serhiy Yanchuk of Humboldt-Universität presents "Adaptive dynamical networks: from multiclusters to recurrent synchronization" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: Adaptive dynamical networks is

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

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Data-Driven Dynamical Systems Overview

This video provides a high-level overview of this new series on data-driven dynamical systems. In particular, we explore the various challenges in modern dynamical systems, along with emerging techniques in data science and machine learning to tackle them. The two chief challenges are 1)

From playlist Data-Driven Dynamical Systems with Machine Learning

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Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co

From playlist Dynamical Systems (with Machine Learning)

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Aneta Stefanovska - Time: How it matters - IPAM at UCLA

Recorded 31 August 2022. Aneta Stefanovska of Lancaster University presents "Time: How it matters?" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: The simplest definition of dynamics is the evolution of position in time and space. Fo

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

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The Psychology of Emotion and Stress

Humans, just like most other mammals, display a wide variety of emotional states. But what are emotions? Why do we have them? What purpose do they serve in an evolutionary context? Let's get to the bottom of emotions right now! Watch the whole Biopsychology playlist: http://bit.ly/ProfDav

From playlist Biopsychology

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Differential Equations and Dynamical Systems: Overview

This video presents an overview lecture for a new series on Differential Equations & Dynamical Systems. Dynamical systems are differential equations that describe any system that changes in time. Applications include fluid dynamics, elasticity and vibrations, weather and climate systems,

From playlist Engineering Math: Differential Equations and Dynamical Systems

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A Theory of Neural Dimensionality, Dynamics and Measurement by Surya Ganguli

ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha

From playlist ICTS at Ten

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Essentials of Neuroscience with MATLAB: Module 3-1 (modeling)

This module introduces computational neuroscience by simulating neurons according to the AdEx model. You will learn about generative modeling, dynamical systems, and FI curves. The MATLAB code introduces Live Scripts and functions. In this video, you will learn the background and goals fo

From playlist Essentials of neuroscience with MATLAB

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Stanford Open Office Hours: William Newsome

How do we learn and remember? What technologies might allow us to peer into the brain and even manipulate its function? How could a deeper understanding of the brain influence public policy, education and the law? In this session of Open Office Hours, William Newsome, professor of neurobio

From playlist Stanford Open Office Hours

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Stanford Seminar - Towards theories of single-trial high dimensional neural data analysis

EE380: Computer Systems Colloquium Seminar Towards theories of single-trial high dimensional neural data analysis Speaker: Surya Ganguli, Stanford, Applied Physics Neuroscience has entered a golden age in which experimental technologies now allow us to record thousands of neurons, over

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

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Luca Mazzucato - Computational Principles Underlying the Temporal Organization of Behavior

Naturalistic animal behavior exhibits a striking amount of variability in the temporal domain along at least three independent axes: hierarchical, contextual, and stochastic. First, a vast hierarchy of timescales links movements into behavioral sequences and long-term activities, from mill

From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

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Behaviour as the result of an interaction between the nervous system... by Bernardo Gabriel Mindlin

DISCUSSION MEETING NEUROSCIENCE, DATA SCIENCE AND DYNAMICS (ONLINE) ORGANIZERS: Amit Apte (IISER-Pune, India), Neelima Gupte (IIT-Madras, India) and Ramakrishna Ramaswamy (IIT-Delhi, India) DATE : 07 February 2022 to 10 February 2022 VENUE: Online This discussion meeting on Neuroscien

From playlist Neuroscience, Data Science and Dynamics (ONLINE)

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Neural manifolds - The Geometry of Behaviour

This video is my take on 3B1B's Summer of Math Exposition (SoME) competition It explains in pretty intuitive terms how ideas from topology (or "rubber geometry") can be used in neuroscience, to help us understand the way information is embedded in high-dimensional representations inside

From playlist Summer of Math Exposition Youtube Videos

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Broad overview of EEG data analysis analysis

This lecture is a very broad introduction to the most commonly used data analyses in cognitive electrophysiology. There is no math, no Matlab, and no data to download. For more information about MATLAB programming: https://www.udemy.com/matlab-programming-mxc/?couponCode=MXC-MATLAB10 For

From playlist OLD ANTS #1) Introductions

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François Delarue: Mean-field analysis of an excitatory neuronal network: application to [...]

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Partial Differential Equations

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Dynamics : An overview of the cause of mechanics

Dynamics is a subset of mechanics, which is the study of motion. Whereas kinetics studies that motion itself, dynamics is concerned about the CAUSES of motion. In particular, it involves the concepts of force, momentum and energy. This video gives an overview of what dynamics is, and is u

From playlist Dynamics

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Tomislav Stankovski - Neural Cross-frequency Coupling: delta-alpha, resting state, anesthesia, sleep

Recorded 02 September 2022. Tomislav Stankovski of the Cyril and Methodius University of Skopje presents "Neural Cross-frequency Coupling Functions: delta-alpha coupling in resting state, anesthesia and sleep" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscienc

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

Related pages

Information theory | Neural oscillation | Lyapunov function | Phase space | Artificial intelligence | Central pattern generator | FitzHugh–Nagumo model | Randomness | Network topology | Action potential | Hodgkin–Huxley model | Artificial neural network