A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition

Christophe Patyn; Geert Deconinck

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arXiv · 2410.02766

A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition

Christophe Patyn·Geert Deconinck

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Abstract

The framework of Koopman operator theory is discussed along with its connections to Dynamic Mode Decomposition (DMD) and (Kernel) Extended Dynamic Mode Decomposition (EDMD). This paper provides a succinct overview with consistent notation. The authors hope to provide an exposition that more naturally emphasizes the connections between theory and algorithms which may result in a sense of clarity on the subject.

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Christophe Patyn, Geert Deconinck. 2024-09-16. A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition. https://arxiv.org/abs/2410.02766

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