Constructing chaotic repellors

Chunbiao Li, Zhenyu Gu, Zuohua Liu, Sajad Jafari and Tomasz Kapitaniak

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: The introduction of surfaces of equilibria in a dynamical system is a useful tool for constructing a chaotic repellor. To transform an attractor to a repellor, there are infinitely many available functions for introducing a surface of equilibria. Chaotic repellors can be constructed thereafter from a single chaotic attractor, a symmetric pair of chaotic attractors or even from those systems with attractor doubling and self-reproducing. Offset boosting of a variable driven by an embedded function or extra supplementary functions shows a flexible control on system attractors along with those coexisting repellors, which also rescales the frequency of oscillation even without destroying the amplitude of them.

Keywords: Attractor; Repellor; Offset boosting; Surface of equilibria (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309358

DOI: 10.1016/j.chaos.2020.110544

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