Transverse Lyapunov Exponent and Chimeras in Globally Coupled Maps

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-19 DOI:10.1137/23m1603339

Théophile Caby, Pierre Guiraud

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 1946-1965, September 2024.
Abstract.We study the stability properties and the long-term dynamics of chimeras in systems of globally coupled maps. In particular, we establish a formula for the transverse Lyapunov exponent of the states of the system containing synchronized units. We use this formula to present numerical evidence of attracting chimeras having chaotic dynamics as well as periodic behaviors. We also show that, at least for polynomial local maps, attracting periodic cycles tend to belong to cluster spaces, and, more generally, limit sets of chimera orbits have zero Lebesgue measure for strong coupling regimes.

查看原文本刊更多论文

全局耦合地图中的横向 Lyapunov 指数和嵌合体

SIAM 应用动力系统期刊》，第 23 卷第 3 期，第 1946-1965 页，2024 年 9 月。摘要：我们研究了全局耦合映射系统中嵌合体的稳定性和长期动力学。特别是，我们建立了包含同步单元的系统状态的横向 Lyapunov 指数公式。我们利用这个公式提出了具有混沌动力学和周期行为的吸引嵌合体的数值证据。我们还证明，至少对于多项式局部映射，吸引周期性循环倾向于属于簇空间，更一般地说，在强耦合状态下，嵌合体轨道的极限集的勒贝格度量为零。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.