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

1997/10/14 by R. Hsu, Rue-Ron Hsu, Jyh-Long Chern +8
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Scientific Research and Discoveries #chao-dyn #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.chao-dyn/9710008

Latex, 19 pages with 4 figures in ps-file

arxiv created 1997/10/14 · openalex publication_date 1997/10/14 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

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