Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent

DOI10.1016/j.amc.2009.03.051zbMath1174.37014OpenAlexW2052140211MaRDI QIDQ1029395

Jinqian Feng, Wei Xu

Publication date: 10 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.051

zbMATH Keywords

bifurcationtop Lyapunov exponentDuffing vibro-impact oscillatorstochastic non-smooth system

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (5)

Impulsive control of sticking motion in van der Pol one-sided constraint system ⋮ A novel stochastic bifurcation and its discrimination ⋮ Existence and stability of the grazing periodic trajectory in a two-degree-of-freedom vibro-impact system ⋮ Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation ⋮ Maximal Lyapunov Exponents and Steady-State Moments of a VI System based Upon TDFC and VED

Cites Work

• Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Numerical investigation of a response probability density function of stochastic vibroimpact systems with inelastic impacts
• Determining Lyapunov exponents from a time series
• Lyapunov exponent and chaos of Duffing's equation perturbed by white noise
• Calculation of Lyapunov exponents in systems with impacts
• Estimation of the largest Lyapunov exponent in systems with impacts
• Numerical computation of Lyapunov exponents in discontinuous maps implicitly defined
• Noise-induced basin hopping in a gearbox model
• A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
• Stochastic Dynamics of Impact Oscillators
• Chaos in Dynamical Systems

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