In this paper,we propose a new method to obtain the closed-form solution of the reducedFokker-Planck-Kolmogorov(FPK) equation for single degree of freedom nonlinear systems underexternal and parametri
The stochastic sensitivity of the non-autonomous nonlinear dynamical system subject toGaussian white noise is analyzed in this paper.At first,the period-T attractor of a nonautonomousnonlinear dynamic
This paper aims to investigate the stochastic response of van der Pol(VDP) oscillator withtwo kinds of fractional derivatives under Gaussian white noise excitation.First,the fractionalVDP oscillator i