System dynamics

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

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

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)

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

Everything You Need to Know About Control Theory

Control theory is a mathematical framework that gives us the tools to develop autonomous systems. Walk through all the different aspects of control theory that you need to know. Some of the concepts that are covered include: - The difference between open-loop and closed-loop control - How

From playlist Control Systems in Practice

Mathematical modeling of evolving systems

Discover the multidisciplinary nature of the dynamical principles at the core of complexity science. COURSE NUMBER: CAS 522 COURSE TITLE: Dynamical Systems LEVEL: Graduate SCHOOL: School of Complex Adaptive Systems INSTRUCTOR: Enrico Borriello MODE: Online SEMESTER: Fall 2021 SESSION:

From playlist What is complex systems science?

Chaotic Dynamical Systems

This video introduces chaotic dynamical systems, which exhibit sensitive dependence on initial conditions. These systems are ubiquitous in natural and engineering systems, from turbulent fluids to the motion of objects in the solar system. Here, we discuss how to recognize chaos and how

From playlist Engineering Math: Differential Equations and Dynamical Systems

Tony Lelievre (DDMCS@Turing): Coarse-graining stochastic dynamics

Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp

From playlist Data driven modelling of complex systems

The Step Response | Control Systems in Practice

Check out the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08pFBqgd_6Bi7msgkWFKL33b This video covers a few interesting things about the step response. We’ll look at what a step response is and some of the ways it can be used to specify design requirements f

From playlist Control Systems in Practice

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

Deep Learning to Discover Coordinates for Dynamics: Autoencoders & Physics Informed Machine Learning

Joint work with Nathan Kutz: https://www.youtube.com/channel/UCoUOaSVYkTV6W4uLvxvgiFA Discovering physical laws and governing dynamical systems is often enabled by first learning a new coordinate system where the dynamics become simple. This is true for the heliocentric Copernican syste

From playlist Data-Driven Dynamical Systems with Machine Learning

Steve Brunton: "Dynamical Systems (Part 1/2)"

Watch part 2/2 here: https://youtu.be/HgeC0-VIUtc Machine Learning for Physics and the Physics of Learning Tutorials 2019 "Dynamical Systems (Part 1/2)" Steve Brunton, University of Washington Institute for Pure and Applied Mathematics, UCLA September 5, 2019 For more information: http

From playlist Machine Learning for Physics and the Physics of Learning 2019

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

Machine learning analysis of chaos and vice versa - Edward Ott, University of Maryland

About the talk In this talk we first consider the situation where one is interested in gaining understanding of general dynamical properties of a chaotically time evolving system solely through access to time series measurements that depend on the evolving state of an, otherwise unknown,

From playlist Turing Seminars

Koopman Spectral Analysis (Overview)

In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the increasing availability of measurement data and advanced regression algorithm. https://www.eigensteve.com

From playlist Koopman Analysis

Sparse Identification of Nonlinear Dynamics (SINDy)

This video illustrates a new algorithm for the sparse identification of nonlinear dynamics (SINDy). In this work, we combine machine learning, sparse regression, and dynamical systems to identify nonlinear differential equations purely from measurement data. From the Paper: Discovering

From playlist Research Abstracts from Brunton Lab

Dynamical systems evolving – Lai-Sang Young – ICM2018

Plenary Lecture 8 Dynamical systems evolving Lai-Sang Young Abstract: I will discuss a number of results taken from a cross-section of my work in Dynamical Systems theory and applications. The first topics are from the ergodic theory of chaotic dynamical systems. They include relation be

From playlist Plenary Lectures

Forces, Energy, And System Analysis

The Forces, Energy, And System Analysis explains the importance of a system analysis in keeping track of energy for any given motion scenario. The distinction between conservative and non-conservative forces and the relationship of each to the total amount of mechanical energy is discussed

From playlist Work and Energy