Non-linear Systems Under Poisson White Noise Handled by Path Integral Solution

DOI10.1177/1077546307079386zbMath1229.70078OpenAlexW1998138959MaRDI QIDQ3110940

Roberta Santoro, Mario Di Paola

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307079386

zbMATH Keywords

Poisson white noiseKolmogorov-Feller equationpath integral solution

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05)

Related Items (9)

Stochastic response of a vibro-impact Duffing system under external Poisson impulses ⋮ Statistics of bounded processes driven by Poisson white noise ⋮ Coupled Kansa and hybrid optimization methodological approach for Kolmogorov-Feller equations ⋮ A new approach for time-variant probability density function of the maximal value of stochastic dynamical systems ⋮ Random vibrations of Rayleigh vibroimpact oscillator under parametric Poisson white noise ⋮ A novel method based on augmented Markov vector process for the time-variant extreme value distribution of stochastic dynamical systems enforced by Poisson white noise ⋮ Probabilistic solution of a multi-degree-of-freedom Duffing system under nonzero mean Poisson impulses ⋮ An improved path integration method for nonlinear systems under Poisson white noise excitation ⋮ Probabilistic characterization of nonlinear systems under Poisson white noise via complex fractional moments

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