用自编码器重构吸引子。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-01-01 DOI:10.1063/5.0232584

F Fainstein, G B Mindlin, P Groisman

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引用次数: 0

摘要

我们提出了一种基于自编码器的方法来从记录的镜头中重建吸引子，同时保留了底层相空间的拓扑结构。我们提供了理论支持，并使用(i) Lorenz大气对流问题中涉及的温度和流函数场的镜头和（ii）通过积分Rössler方程获得的时间序列来测试该方法。

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Reconstructing attractors with autoencoders.

We propose a method based on autoencoders to reconstruct attractors from recorded footage, preserving the topology of the underlying phase space. We provide theoretical support and test the method with (i) footage of the temperature and stream function fields involved in the Lorenz atmospheric convection problem and (ii) a time series obtained by integrating the Rössler equations.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.