English

An exactly solvable nonlinear model: Constructive effects of correlations between Gaussian noises

Statistical Mechanics 2015-06-25 v1

Abstract

A system with two correlated Gaussian white noises is analysed. This system can describe both stochastic localization and long tails in the stationary distribution. Correlations between the noises can lead to a nonmonotonic behaviour of the variance as function of the intensity of one of the noises and to a stochastic resonance. A method for improving the transmission of external periodic signal by tuning parameters of the system discussed in this paper is proposed.

Keywords

Cite

@article{arxiv.cond-mat/0602449,
  title  = {An exactly solvable nonlinear model: Constructive effects of correlations between Gaussian noises},
  author = {P. F. Gora},
  journal= {arXiv preprint arXiv:cond-mat/0602449},
  year   = {2015}
}
R2 v1 2026-07-22T11:28:50.974Z