https://doi.org/10.1140/epjp/s13360-024-05712-z
Regular Article
Controllable multi-scroll chaotic attractors with multiple wings in Chua’s system
1
School of Electrical and Electronic Engineering, Wuhan Polytechnic University, 430048, Wuhan, China
2
College of Engineering, Huazhong Agricultural University, 430070, Wuhan, China
Received:
2
July
2024
Accepted:
2
October
2024
Published online:
21
October
2024
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
