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AuthorVeeman, Dhinakaran
AuthorNatiq, Hayder
AuthorAli, Ahmed M.Ali
AuthorRajagopal, Karthikeyan
AuthorHussain, Iqtadar
Available date2022-05-30T05:39:56Z
Publication Date2022-01-01
Publication NameComplexity
Identifierhttp://dx.doi.org/10.1155/2022/9345036
CitationDhinakaran Veeman, Hayder Natiq, Ahmed M. Ali Ali, Karthikeyan Rajagopal, Iqtadar Hussain, "A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability", Complexity, vol. 2022, Article ID 9345036, 7 pages, 2022. https://doi.org/10.1155/2022/9345036
ISSN10762787
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85128123704&origin=inward
URIhttp://hdl.handle.net/10576/31644
AbstractHere, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents (LEs), and the Poincare section of the oscillator's dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various dynamics, such as equilibrium point and chaos. The stability analysis of equilibrium points shows there are both stable and unstable fixed points.
Languageen
PublisherHindawi
SubjectBifurcation (mathematics)
Dynamics
Lyapunov methods Engineering uncontrolled terms
Hyperchaotic System
TitleA Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability
TypeArticle
Volume Number2022
ESSN1099-0526
dc.accessType Open Access


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