Stochastic averaging of quasi-partially integrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations

DOI10.1016/j.physa.2013.12.009zbMath1395.82112OpenAlexW2090501511MaRDI QIDQ1782613

Wantao Jia, Wei-Qiu Zhu

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.12.009

zbMATH Keywords

stochastic averaging methodstationary solutioncombined Gaussian and Poisson white noise excitationsquasi-partially integrable and non-resonant Hamiltonian system

Mathematics Subject Classification ID

Related Items (7)

Lyapunov function method for analyzing stability of quasi-Hamiltonian systems under combined Gaussian and Poisson white noise excitations ⋮ Random vibration of hysteretic systems under Poisson white noise excitations ⋮ Response analysis of a class of quasi-linear systems with fractional derivative excited by Poisson white noise ⋮ Random vibrations of Rayleigh vibroimpact oscillator under parametric Poisson white noise ⋮ Strong averaging principle for two-time-scale non-autonomous stochastic FitzHugh-Nagumo system with jumps ⋮ Stochastic stability of quasi-partially integrable and non-resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises ⋮ Strong averaging principle for slow-fast SPDEs with Poisson random measures

Cites Work

• Unnamed Item
• Unnamed Item
• Applied stochastic control of jump diffusions.
• An averaging principle for stochastic dynamical systems with Lévy noise
• First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations
• First-passage failure of quasi-non-integrable-Hamiltonian systems
• Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems
• Stochastic averaging: An approximate method of solving random vibration problems
• Stochastic integro-differential and differential equations of nonlinear systems excited by parametric Poisson pulses
• Response of stochastic dynamical systems driven by additive Gaussian and Poisson white noise: Solution of a forward generalized Kolmogorov equation by a spectral finite difference method
• Stochastic Dynamics of Nonlinear Systems Driven by Non-normal Delta-Correlated Processes
• Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems
• On Stochastic Processes Defined by Differential Equations with a Small Parameter

This page was built for publication: Stochastic averaging of quasi-partially integrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations