Dynamical systems may experience undesirable behavior or instability, which can be
eliminated using feedback control means. However, in the absence of feedback control, the …

We consider the motion of a Brownian particle moving in a potential field and driven by
dichotomous noise with exponential correlation. Traditionally, the analytic as well as the …

Varying cross section of confinement of a Brownian particle in two or higher dimensions
results in an effective entropic barrier in reduced dimension. When the boundaries are …

In the present study, we have proposed the Fokker-Planck equation in a simple way for a
Langevin equation of motion having ordinary derivative (OD), the Gaussian random force …

In a previous paper [Bag and Hu, Phys. Rev. E 73, 061107 (2006)], we studied the mean
lifetime (MLT) for the escape of a Brownian particle through an unstable limit cycle driven by …

A correlation between two noise processes driving the thermally activated particles in a
symmetric triple-well potential may cause a symmetry breaking and a difference in relative …

We consider the escape of particles located in the middle well of a symmetric triple well
potential driven sinusoidally by two forces such that the potential wells rock as in stochastic …

We consider a Brownian particle acted on by a linear conservative force, a nonlinear
frictional force, and multiplicative colored and additive white noises; the frictional force can …

In this paper we present properties of an external colored cross-correlated noise-driven
Brownian system which is coupled to a thermal bath. Multiplicative cross-correlated noises …

Using the property of the solution of the Langevin dynamics with a generalized frictional
memory kernel and time-dependent deterministic force field, we show that a solution method …