Open AccessStochastic response of smooth and discontinuous oscillator under additive and multiplicative Poisson white noise excitation
Author(s) -
Yue Xiao-Le,
Wei Xu,
Ying Zhang,
Liang Wang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.060502
Subject(s) - white noise , attractor , physics , multiplicative function , poisson distribution , invariant (physics) , excitation , mathematical analysis , mathematics , statistical physics , quantum mechanics , statistics
The stochastic response of the smooth and discontinuous (SD) oscillator under additive and multiplicative Poisson white noise excitation is studied by the generalized cell mapping method. Based on the digraph analysis algorithm, the attractors, basins of attraction, basin boundaries, saddles and invariant manifolds of the SD oscillator can be obtained. The transient and stationary responses of the SD oscillator under Poisson white noise excitation are computed based on the matrix analysis algorithm. It can be found that there is a close relationship between the evolution direction of probability density and the unstable manifold. Monte Carlo results are used to verify the efficiency and accuracy of the matrix analysis algorithm.