Offset parameter cancellation produces countless coexisting attractors

The average value of a system variable determines the position of its attractor. When the offset parameters come together and get disappeared after an algebraic operation, the location of the attractor is then governed by an initial condition only. In this case, parameter-dominated offset control tu...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2022-12, Vol.32 (12), p.121104-121104
Main Authors: Li, Chunbiao, Lei, Tengfei, Liu, Zuohua
Format: Article
Language:English
Subjects:
Mathematical analysis
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Summary:The average value of a system variable determines the position of its attractor. When the offset parameters come together and get disappeared after an algebraic operation, the location of the attractor is then governed by an initial condition only. In this case, parameter-dominated offset control turns out to be the initial condition-defined coexisting attractors. In this Letter, a special mechanism for generating countless coexisting attractors is disclosed. Furthermore, a new regime of multistability is revealed, which explains where and how countless coexisting attractors are born and arranged.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0129936