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).
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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)
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
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
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
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
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