{"title":"A note on the coexistence of infinitely many attractors.","authors":"Xu Zhang, Mingtao Chen, Ran Zhang, Guanrong Chen","doi":"10.1063/5.0272999","DOIUrl":null,"url":null,"abstract":"<p><p>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.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0272999","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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.