TY - JOUR
T1 - Multi-bifurcation cascaded bursting oscillations and mechanism in a novel 3D non-autonomous circuit system with parametric and external excitation
AU - Wang, Mengjiao
AU - Li, Jianhui
AU - Zhang, Xinan
AU - Iu, Herbert Ho Ching
AU - Fernando, Tyrone
AU - Li, Zhijun
AU - Zeng, Yicheng
PY - 2021/9
Y1 - 2021/9
N2 - 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.
AB - 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.
KW - Bifurcation
KW - Bursting oscillation
KW - Chaotic dynamics
KW - Fast-slow dynamics
KW - Multi-timescale system
UR - http://www.scopus.com/inward/record.url?scp=85111743829&partnerID=8YFLogxK
U2 - 10.1007/s11071-021-06763-y
DO - 10.1007/s11071-021-06763-y
M3 - Article
AN - SCOPUS:85111743829
SN - 0924-090X
VL - 105
SP - 3699
EP - 3714
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 4
ER -