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AuthorVijayakumar, M. D.
AuthorBahramian, Alireza
AuthorNatiq, Hayder
AuthorRajagopal, Karthikeyan
AuthorHussain, Iqtadar
Available date2023-12-05T10:28:38Z
Publication Date2021
Publication NameInternational Journal of Bifurcation and Chaos
ResourceScopus
ISSN2181274
URIhttp://dx.doi.org/10.1142/S0218127421502539
URIhttp://hdl.handle.net/10576/50084
AbstractHidden attractors generated by the interactions of dynamical variables may have no equilibrium point in their basin of attraction. They have grabbed the attention of mathematicians who investigate strange attractors. Besides, quadratic hyperjerk systems are under the magnifying glass of these mathematicians because of their elegant structures. In this paper, a quadratic hyperjerk system is introduced that can generate chaotic attractors. The dynamical behaviors of the oscillator are investigated by plotting their Lyapunov exponents and bifurcation diagrams. The multistability of the hyperjerk system is investigated using the basin of attraction. It is revealed that the system is bistable when one of its attractors is hidden. Besides, the complexity of the systems' attractors is investigated using sample entropy as the complexity feature. It is revealed how changing the parameters can affect the complexity of the systems' time series. In addition, one of the hyperjerk system equilibrium points is stabilized using impulsive control. All real initial conditions become the equilibrium points of the basin of attraction using the stabilizing method.
SponsorThis work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India, and under funding number CIT/CNS/2021/RP-015.
Languageen
PublisherWorld Scientific
SubjectBifurcation
Chaos
Complexity
Lyapunov exponent
Multistability
TitleA Chaotic Quadratic Bistable Hyperjerk System with Hidden Attractors and a Wide Range of Sample Entropy: Impulsive Stabilization
TypeArticle
Issue Number16
Volume Number31
dc.accessType Abstract Only


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