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AuthorWang, Zhen
AuthorVeeman, Dhinakaran
AuthorZhang, Min
AuthorNatiq, Hayder
AuthorYang, Rui
AuthorHussain, Iqtadar
Available date2022-03-21T05:56:35Z
Publication Date2021-01-01
Publication NameEuropean Physical Journal: Special Topics
Identifierhttp://dx.doi.org/10.1140/epjs/s11734-021-00371-y
CitationWang, Z., Veeman, D., Zhang, M. et al. A symmetric oscillator with multi-stability and chaotic dynamics: bifurcations, circuit implementation, and impulsive control. Eur. Phys. J. Spec. Top. (2021). https://doi.org/10.1140/epjs/s11734-021-00371-y
ISSN19516355
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85121696294&origin=inward
URIhttp://hdl.handle.net/10576/28369
AbstractFinding chaotic oscillators with unique properties is a hot topic. In this paper, a symmetric oscillator with multi-stability is proposed. This oscillator has bounded dynamics for any initial conditions. It is also shown that the oscillator has one unstable equilibrium. This paper studies the dynamical properties of the oscillator, such as chaotic attractors, Lyapunov exponents (LEs), bifurcation diagrams, and the basin of attraction. Its feasibility is shown by circuit implementation. In addition, the stabilization of the system is investigated by impulsive control.
SponsorThis work is partially supported by the Natural Science Basic Research Program of Shaanxi (2021JM-533, 2021JQ-880, 2020JM-646), the Innovation Capability Support Program of Shaanxi (2018GHJD-21), the Science and Technology Program of Xi’an (2019218414GXRC020CG021-GXYD20.3), the Support Plan for Sanqin Scholars Innovation Team in Shaanxi Province of China and the Scientific Research Fund for High-Level Talents of Xijing University (XJ21B01). This work is partially funded by Centre for Nonlinear Systems, Chennai Institute of Technology, India vide funding number CIT/CNS/2021/RD/064.
Languageen
PublisherSpringer
Subjectmulti-stability
bifurcations
TitleA symmetric oscillator with multi-stability and chaotic dynamics: bifurcations, circuit implementation, and impulsive control
TypeArticle
ESSN1951-6401
dc.accessType Full Text


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