Journal
INDIAN JOURNAL OF PHYSICS
Volume 96, Issue 5, Pages 1501-1507Publisher
INDIAN ASSOC CULTIVATION SCIENCE
DOI: 10.1007/s12648-021-02075-4
Keywords
Memristor; Hyperjerk; Hidden attractor; Strange attractor
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Funding
- Center for Computational Biology, Chennai Institute of Technology, India [CIT/CCB/2021/RD/007]
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This paper introduces a multi-stable chaotic hyperjerk system with both self-excited and hidden attractors, which is rare among dynamical systems. State-space, bifurcation, and Lyapunov exponent plots demonstrate the existence of chaotic dynamics, and the fractional-order model and dynamical properties of the system are studied in this paper.
In this paper, a multi-stable chaotic hyperjerk system with both self-excited and hidden attractors is proposed. Such a system is infrequent between dynamical systems. State-space, bifurcation, and Lyapunov exponent plots are presented to show the existence of chaotic dynamics. The fractional-order model of the system and its dynamical properties are studied in this paper.
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