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Chaotic Dynamical Systems

Steve Brunton via YouTube

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Overview

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This course introduces chaotic dynamical systems through planetary motion, double pendulums, fluid turbulence, Lyapunov exponents, and synchronization. It emphasizes numerical simulation, flow-map analysis, and symplectic integration using Python and Matlab.

Syllabus

Overview of Chaotic Dynamics
Example: Planetary Dynamics
Example: Double Pendulum
Flow map Jacobian and Lyapunov Exponents
Symplectic Integration for Chaotic Hamiltonian Dynamics
Examples of Chaos in Fluid Turbulence
Synchrony and Order in Dynamics

Taught by

Steve Brunton

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