Global Bifurcation Analysis of a Duffing–Van der Pol Oscillator with Parametric Excitation

DOI10.1142/S0218127414500515zbMath1296.37043OpenAlexW2037433756MaRDI QIDQ3191929

Xiaole Yue, Qun Han, Wei Xu

Publication date: 26 September 2014

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

Full work available at URL: https://doi.org/10.1142/s0218127414500515

zbMATH Keywords

global bifurcationWada basin boundarycomposite cell state spaceDuffing-van der Pol

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35) Nonautonomous smooth dynamical systems (37C60)

Related Items (7)

Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method ⋮ Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Noise-Induced Chaos in a Piecewise Linear System ⋮ Exit location distribution in the stochastic exit problem by the generalized cell mapping method ⋮ Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator ⋮ First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method ⋮ Nonintegrability of parametrically forced nonlinear oscillators

Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Global bifurcations and chaos. Analytical methods

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