Stochastic response, cascading and control of colored noise in dynamical systems

Rue Ron Hsu; Jyh Long Chern; Wei Pu Lin; Chia Chu Chen; Han Tzong Su

Stochastic response, cascading and control of colored noise in dynamical systems

Rue Ron Hsu, Jyh Long Chern, Wei Pu Lin, Chia Chu Chen, Han Tzong Su

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	292-301
Number of pages	10
Journal	Chinese Journal of Physics
Volume	37
Issue number	3
Publication status	Published - 1999

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Cite this

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title = "Stochastic response, cascading and control of colored noise in dynamical systems",

abstract = "The correlation functions of the stochastic response of a generic mapping system driven by colored noise are determined analytically. The issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with a defiltered coupling, is also investigated. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreement is obtained between analytical results and numerical simulations.",

author = "Hsu, {Rue Ron} and Chern, {Jyh Long} and Lin, {Wei Pu} and Chen, {Chia Chu} and Su, {Han Tzong}",

year = "1999",

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publisher = "Physical Society of the Republic of China",

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AU - Hsu, Rue Ron

AU - Chern, Jyh Long

AU - Lin, Wei Pu

AU - Chen, Chia Chu

AU - Su, Han Tzong

PY - 1999

Y1 - 1999

N2 - The correlation functions of the stochastic response of a generic mapping system driven by colored noise are determined analytically. The issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with a defiltered coupling, is also investigated. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreement is obtained between analytical results and numerical simulations.

AB - The correlation functions of the stochastic response of a generic mapping system driven by colored noise are determined analytically. The issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with a defiltered coupling, is also investigated. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreement is obtained between analytical results and numerical simulations.

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M3 - Article

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Stochastic response, cascading and control of colored noise in dynamical systems

Abstract

All Science Journal Classification (ASJC) codes

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