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

Rue-Ron Hsu; Jyh-Long Chern; Wei-Fu Lin; Chia-Chu Chen

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arXiv · chao-dyn/9710008

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

Rue-Ron Hsu·Jyh-Long Chern·Wei-Fu Lin·Chia-Chu Chen

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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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Rue-Ron Hsu, Jyh-Long Chern, Wei-Fu Lin, Chia-Chu Chen. 1997-10-14. Stochastic Response, Cascading and Control of Colored Noise in Dynamical System. https://arxiv.org/abs/chao-dyn/9710008

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