{"title":"Controllable multi-scroll chaotic attractors with multiple wings in Chua’s system","authors":"Guanghui Cheng, Rong Gui","doi":"10.1140/epjp/s13360-024-05712-z","DOIUrl":null,"url":null,"abstract":"<div><p>Controllable chaotic attractors with special structures have great value in engineering applications. In this paper, the novel controllable chaotic attractors are generated by constructing parameter controlled index-2 saddle-foci in Chua’s system. The chaotic attractors simultaneously contain two types of topological units, namely scroll and wing. There are potential differences among index-2 saddle-foci, which can be confirmed by the differences among eigenvalues and coexisting attractors. We propose the formation mechanism of wing, that is, the particle located in a index-2 saddle-focus region with weaker potential field is influenced by other index-2 saddle-foci regions with stronger potential field, it will escape from the constraint of weaker potential field before forming a spiral motion and then only form wings. Based on the formation mechanism of wing, half-saddle-foci or regions without equilibrium points but close to half-saddle-foci are constructed to further weaken the attraction of potential field and generate controllable wings. The analog circuit experiments confirmed the results.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-024-05712-z.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05712-z","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Controllable chaotic attractors with special structures have great value in engineering applications. In this paper, the novel controllable chaotic attractors are generated by constructing parameter controlled index-2 saddle-foci in Chua’s system. The chaotic attractors simultaneously contain two types of topological units, namely scroll and wing. There are potential differences among index-2 saddle-foci, which can be confirmed by the differences among eigenvalues and coexisting attractors. We propose the formation mechanism of wing, that is, the particle located in a index-2 saddle-focus region with weaker potential field is influenced by other index-2 saddle-foci regions with stronger potential field, it will escape from the constraint of weaker potential field before forming a spiral motion and then only form wings. Based on the formation mechanism of wing, half-saddle-foci or regions without equilibrium points but close to half-saddle-foci are constructed to further weaken the attraction of potential field and generate controllable wings. The analog circuit experiments confirmed the results.
期刊介绍:
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