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

Описание к видео 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!!

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This video was produced at the University of Washington

%%% CHAPTERS %%%
0:00 Introduction
4:35 Linearization at a Fixed Point
9:37 Why We Linearize: Eigenvalues and Eigenvectors
14:46 Nonlinear Example: The Duffing Equation
19:59 Stable and Unstable Manifolds
21:12 Bifurcations
25:20 Discrete-Time Dynamics: Population Dynamics
27:02 Integrating Dynamical System Trajectories
29:07 Chaos and Mixing

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