Dive into a comprehensive 3.5-hour lecture series on Koopman Analysis, exploring its applications in nonlinear dynamics, control theory, and data-driven modeling. Learn about Koopman Observable Subspaces, finite linear representations of nonlinear dynamics, optimal control strategies, and the connection to compressed sensing and Dynamic Mode Decomposition. Discover the Hankel Alternative View of Koopman (HAVOK) analysis and its applications to real-world phenomena such as magnetic field reversals and measles outbreaks. Explore linear models for chaotic systems like the Lorenz system, and delve into Koopman Spectral Analysis, covering topics such as control, representations, continuous spectrum, and multiscale systems.
Overview
Syllabus
Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control.
Koopman Observable Subspaces & Nonlinearization.
Koopman Operator Optimal Control.
Compressed Sensing and Dynamic Mode Decomposition.
Hankel Alternative View of Koopman (HAVOK) Analysis [FULL].
Hankel Alternative View of Koopman (HAVOK) Analysis [SHORT].
Magnetic field reversal and Measles outbreaks: HAVOK models of chaos.
Linear model for chaotic Lorenz system [HAVOK].
Koopman Spectral Analysis (Control).
Koopman Spectral Analysis (Representations).
Koopman Spectral Analysis (Overview).
Koopman Spectral Analysis (Continuous Spectrum).
Koopman Spectral Analysis (Multiscale systems).
Taught by
Steve Brunton
