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Koopman Spectral Analysis - Overview

Steve Brunton via YouTube

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Overview

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This overview introduces Koopman operator theory as a framework for analyzing data-driven nonlinear dynamical systems. It covers Koopman eigenfunctions, invariant subspaces, finite-dimensional linear embeddings, and the connection to dynamic mode decomposition.

Syllabus

Intro
Open Problems, Key Challenges, Emerging Techniques
Dynamical Systems: Koopman and Operators
Example: Koopman Linear Embedding
Example: No easy closure
Koopman Eigenfunctions Define Invariant Subspaces
Dynamic Mode Decomposition (DMD)

Taught by

Steve Brunton

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