Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator

DOI10.1142/S0218127421500826zbMath1469.34054OpenAlexW3173006371MaRDI QIDQ4990672

Xindong Ma, Qinsheng Bi, Jin Song, Mengke Wei, Xiujing Han

Publication date: 31 May 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500826

zbMATH Keywords

bifurcationfast-slow analysispulse-shaped explosioncomplex bursting dynamicsslow excitation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (4)

Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator ⋮ Sufficient conditions and criteria for the pulse-shaped explosion related to equilibria in a class of nonlinear systems ⋮ Darboux integrability of a Mathieu-van der Pol-Duffing oscillator ⋮ Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations

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