A Novel Non-Autonomous Chaotic System with Infinite 2-D Lattice of Attractors and Bursting Oscillations

Mengjiao Wang, Jianhui Li, Xinan Zhang, Herbert Ho Ching Iu, Tyrone Fernando, Zhijun Li, Yicheng Zeng

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this brief, a novel three-dimensional non-Autonomous chaotic system with periodic excitation and trigonometric function is proposed. Interestingly, with the disturbance of the periodic excitation, the system exhibits complex dynamical behaviors, including bursting oscillations (BOs), chaotic and hyperchaotic attractor. More importantly, because of the presence of trigonometric function, the system possesses infinite number of equilibrium points, which leads to the phenomenon of extreme multistability, namely infinite coexistence attractors and BOs. Besides, a variety of dynamic analysis tools such as phase diagram (PD), transformed phase diagram (TPD), time series (TS), bifurcation diagram (BD) and Lyapunov exponents (LE) are used to comprehensively analyze these interesting dynamics. Finally, an analog circuit is designed through the use of circuit simulation software PSPICE and realized by an experimental set-up to verify these dynamics.

Original languageEnglish
Article number9184023
Pages (from-to)1023-1027
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume68
Issue number3
DOIs
Publication statusPublished - Mar 2021

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