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
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- 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.
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
- ID情報
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- DOI : 10.1088/2632-072x/ad5264
- eISSN : 2632-072X