Response of a stochastic Duffing-van der Pol elastic impact oscillator

DOI10.1016/J.CHAOS.2008.08.013zbMath1198.60029OpenAlexW2028496575MaRDI QIDQ602540

Gaojie Li, Wei Xu, Liang Wang, Dongxi Li

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.08.013

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Reliability of elastic impact system with Coulomb friction excited by Gaussian white noise ⋮ Impulsive control of sticking motion in van der Pol one-sided constraint system ⋮ Global analysis of boundary and interior crises in an elastic impact oscillator ⋮ Chaotic dynamics of the vibro-impact system under bounded noise perturbation ⋮ Non-stationary response of a van der Pol-Duffing oscillator under Gaussian white noise

Cites Work

• Control of impact oscillator
• Modeling of inelastic impacts with the help of smooth functions
• Symmetry-breaking bifurcation analysis of stochastic van der Pol system via Chebyshev polynomial approximation
• Modeling of the mean Poincaré map on a class of random impact oscillators.
• Low-velocity impacts of quasiperiodic oscillations.
• Period-doubling bifurcations and routes to chaos of the vibratory systems contacting stops
• Spectral density of a nonlinear single-degree-of-freedom system's response to a white-noise random excitation: A unique case of an exact solution

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