Stochastic Response of a Vibro-Impact System by Path Integration Based on Generalized Cell Mapping Method
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Publication:2934566
DOI10.1142/S0218127414501296zbMath1302.34090MaRDI QIDQ2934566
Publication date: 15 December 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Discontinuous ordinary differential equations (34A36) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)
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Cites Work
- Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
- Random vibrations with strongly inelastic impacts: response PDF by the path integration method
- Periodic sticking motion in a two-degree-of-freedom impact oscillator
- A new path integration procedure based on Gauss-Legendre scheme
- First-passage time probability of non-linear stochastic systems by generalized cell mapping method
- Double Neimark–Sacker bifurcation and torus bifurcation of a class of vibratory systems with symmetrical rigid stops
- STOCHASTIC BIFURCATION OF AN ASYMMETRIC SINGLE-WELL POTENTIAL DUFFING OSCILLATOR UNDER BOUNDED NOISE EXCITATION
- BIFURCATIONS OF A FORCED DUFFING OSCILLATOR IN THE PRESENCE OF FUZZY NOISE BY THE GENERALIZED CELL MAPPING METHOD
- A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis
- A Theory of Cell-to-Cell Mapping Dynamical Systems
- A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
- Chattering and related behaviour in impact oscillators
- Impact Mechanics