Abstract
AbstractIn this paper, the probability density and almost sure asymptotic stability of the coupled Van der Pol oscillator system under the noise excitations are investigated. Through the stochastic...
Highlights
A great deal of attention has been paid to the investigation of stochastic dynamical system excited by the noises since Itô theory was constructed (Itô, 1951)
We mainly focus on the study of the stochastic differential equation, stochastic dynamics and stability
A method for exact evaluation of the maximal Lyapunov exponent in a linear Itô stochastic differential equation was first created by Khasminskii (1967)
Summary
A great deal of attention has been paid to the investigation of stochastic dynamical system excited by the noises since Itô theory was constructed (Itô, 1951). Lots of stochastic methods were established, and one of which was the stochastic averaging method.
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