Over the past decade, dynamic schemes have been proposed for the use of bistable
systems in the design of logic devices. A bistable system in a noisy background can operate …

In this theoretical study, the response of an inductive power generator with a bistable
symmetric potential to stationary random environmental excitations is investigated. Both …

This book contains comprehensive descriptions of stochastic processes described by
underdamped and overdamped oscillator equations with additive and multiplicative random …

We have analyzed diffusion in a double well potential driven by a colored non-Gaussian
noise. Using a path-integral approach we have obtained a consistent Markovian …

Several numerical methods for treating stochastic differential equations are considered. Both
the convergence in the mean square limit and the convergence of the moments is discussed …

We survey classical non-Markovian processes driven by thermal equilibrium or
nonequilibrium (nonthermal) colored noise. Examples of colored noise are presented. For …

Based on the kinetic model of genetic regulation system proposed by Smolen [Am. J.
Physiol. 274, c531 (1998)], the effects of fluctuations in the degradation reaction rate and the …

We consider the problem of escape of a particle activated by small amplitude Gaussian
colored noise, from a potential well. We consider various ranges of the parameters …

Abstract An approximate Fokker-Planck equation for a general one-dimensional system
driven by correlated noises is derived; the correlation times of the correlations between the …

A Fokker-Planck formulation of systems described by stochastic delay differential equations
has been recently proposed. A separation of time scales approximation allowing this Fokker …