A note on the coexistence of infinitely many attractors.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2025-05-01 DOI:10.1063/5.0272999
Xu Zhang, Mingtao Chen, Ran Zhang, Guanrong Chen
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引用次数: 0

Abstract

This note provides a simple argument useful for verifying the coexistence of infinitely many attractors in many dynamical systems with periodic components. It demonstrates that, for some systems, if one attractor exists then there would be infinitely many. This argument works for both continuous-time and discrete-time settings.

关于无穷多个吸引子共存的注解。
本文提供了一个简单的论证,用于验证许多具有周期分量的动力系统中无穷多吸引子的共存性。它证明了,对于某些系统,如果一个吸引子存在,那么就会有无限多个吸引子。此参数适用于连续时间和离散时间设置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos
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.
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