論文

査読有り 招待有り
2024年6月17日

Lyapunov analysis of data-driven models of high dimensional dynamics using reservoir computing: Lorenz-96 system and fluid flow

Journal of Physics: Complexity
  • Miki U Kobayashi
  • ,
  • Kengo Nakai
  • ,
  • Yoshitaka Saiki

記述言語
日本語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/2632-072x/ad5264
出版者・発行元
IOP Publishing

Abstract

We computed the Lyapunov spectrum and finite-time Lyapunov exponents of a data-driven model
constructed using reservoir computing. This analysis was performed for two dynamics that exhibit a
highly dimensionally unstable structure. We focused on the reconstruction of heterochaotic dynam-
ics, which are characterized by the coexistence of different numbers of unstable dimensions. This
was achieved by computing fluctuations in the number of positive finite-time Lyapunov exponents.

リンク情報
DOI
https://doi.org/10.1088/2632-072x/ad5264
URL
https://iopscience.iop.org/article/10.1088/2632-072X/ad5264
URL
https://iopscience.iop.org/article/10.1088/2632-072X/ad5264/pdf
ID情報
  • DOI : 10.1088/2632-072x/ad5264
  • eISSN : 2632-072X

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