Multi-bifurcation cascaded bursting oscillations and mechanism in a novel 3D non-autonomous circuit system with parametric and external excitation

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

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

In this paper, multi-timescale dynamics and the formation mechanism of a 3D non-autonomous system with two slowly varying periodic excitations are systematically investigated. Interestingly, the system shows novel multi-bifurcation cascaded bursting oscillations (MBCBOs) when the frequency of the two excitations is much lower than the mean frequency of the original system. For instance, periodic, quasi-periodic and chaotic bursting oscillations induced by a variety of cascaded bifurcations are first observed, and the phenomenon of spiking transfer is also revealed. Besides, stability and local bifurcations of the system are comprehensively investigated to analyze the mechanism of the observed MBCBOs, in which bifurcation diagram, Lyapunov exponents, time series, phase portraits, and transformed phase diagrams are used. Finally, through a circuit simulation and hardware experiment, these complex dynamics phenomena are verified physically.

Original languageEnglish
Pages (from-to)3699-3714
Number of pages16
JournalNonlinear Dynamics
Volume105
Issue number4
DOIs
Publication statusPublished - Sept 2021

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