Eur. Phys. J. B 29, 97-103 (2002)
https://doi.org/10.1140/epjb/e2002-00266-x

Coloured noise influence on system evolution

Modeling of Complex Systems Dept., Sumy State University, 2, Rimskii-Korsakov St, 40007 Sumy, Ukraine

Corresponding author: ^a dikh@sumdu.edu.ua

Received: 15 October 2001
Revised: 8 July 2002
Published online: 17 September 2002

Abstract

Within the power–law approach for noise amplitude dependence on stochastic variables, we present a picture of noise–induced transitions in systems affected by coloured multiplicative noise. The governed equations for main statistical moments are obtained and investigated in detail. We show that a reentrant noise–induced transition is realized within a window of the control parameter. – 47.20.Ky Nonlinearity (including bifurcation theory)