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arXiv · 1706.01006

On the Spectral Equivalence of Koopman Operators through Delay Embedding

Yoshihiko Susuki·Kyoichi Sako·Takashi Hikihara
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Abstract

We provide one theorem of spectral equivalence of Koopman operators of an original dynamical system and its reconstructed one through the delay-embedding technique. The theorem is proved for measure-preserving maps (e.g. dynamics on compact attractors) and provides a mathematical foundation of computing spectral properties of the Koopman operators by a combination of extended dynamic mode decomposition and delay-embedding.

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Yoshihiko Susuki, Kyoichi Sako, Takashi Hikihara. 2017-06-03. On the Spectral Equivalence of Koopman Operators through Delay Embedding. https://arxiv.org/abs/1706.01006

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