STOCHASTIC BIFURCATION OF AN ASYMMETRIC SINGLE-WELL POTENTIAL DUFFING OSCILLATOR UNDER BOUNDED NOISE EXCITATION

DOI10.1142/S0218127410027763zbMath1204.34079OpenAlexW2064053127MaRDI QIDQ3069937

Xiaole Yue, Wei Xu

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1142/s0218127410027763

zbMATH Keywords

invariant manifoldsbounded noisestochastic bifurcationasymmetric Duffing oscillatorthe modified digraph cell mapping method

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (5)

Stochastic Response of a Vibro-Impact System by Path Integration Based on Generalized Cell Mapping Method ⋮ Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method ⋮ Analysis of global properties for dynamical systems by a modified digraph cell mapping method ⋮ First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method ⋮ Generalized Cell Mapping Method with Deep Learning for Global Analysis and Response Prediction of Dynamical Systems

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