English

Stochastic Response, Cascading and Control of Colored Noise in Dynamical System

chao-dyn 2007-05-23 v1 Chaotic Dynamics

Abstract

We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with dc-filtered coupling. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreements are obtained between analytical results and numerical simulations.

Cite

@article{arxiv.chao-dyn/9710008,
  title  = {Stochastic Response, Cascading and Control of Colored Noise in Dynamical System},
  author = {Rue-Ron Hsu and Jyh-Long Chern and Wei-Fu Lin and Chia-Chu Chen},
  journal= {arXiv preprint arXiv:chao-dyn/9710008},
  year   = {2007}
}

Comments

Latex, 19 pages with 4 figures in ps-file