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Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Keisuke Taga1, Yuzuru Kato2, Yoshihiro Yamazaki1

  • 1Department of Physics, School of Advanced Science and Engineering, Waseda University, Tokyo 169-8555, Japan.

Chaos (Woodbury, N.Y.)
|January 22, 2024
PubMed
Summary

Dynamic Mode Decomposition (DMD) methods were applied to elementary cellular automata (ECA). An extended DMD method using Walsh functions successfully reproduced ECA dynamics and Koopman eigenvalues, improving upon standard and Hankel DMD techniques.

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