Stochastic Synchronization

Ram Ramaswamy; R. K.Brojen Singh; Changsong Zhou; Jürgen Kurths

doi:10.1007/978-3-642-04629-2_9

Stochastic Synchronization

Ram Ramaswamy^*, R. K.Brojen Singh, Changsong Zhou, Jürgen Kurths

^*Corresponding author for this work

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

3 Citations (Scopus)

Abstract

The manner in which deterministic nonlinear dynamical systems synchronize differs significantly from the analogous phenomenon in stochastic systems. In this brief review, we discuss the basic issues pertaining to synchrony in the presence of stochasticity. This issue has gained in importance in recent years in part due to the study of finite systems. In particular, biological processes at the cellular and sub cellular level are subject to large fluctuations and nevertheless exhibit significant temporal correlations over a wide range of time-scales. The emergence and maintenance of stochastic synchrony is thus of fundamental importance, and we discuss some illustrative cases.

Original language	English
Title of host publication	Nonlinear Dynamics and Chaos
Subtitle of host publication	Advances and Perspectives
Editors	Marco Thiel, Jürgen Kurths, M. Carmen Romano, György Károlyi, Alessandro Moura
Publisher	Springer Berlin Heidelberg
Pages	177-193
Number of pages	17
Edition	1st
ISBN (Electronic)	9783642046292
ISBN (Print)	9783642046285, 9783642263453
DOIs	https://doi.org/10.1007/978-3-642-04629-2_9
Publication status	Published - 20 Apr 2010

Publication series

Name	Understanding Complex Systems
Volume	2010
ISSN (Print)	1860-0832
ISSN (Electronic)	1860-0840

Scopus Subject Areas

Software
Computational Mechanics
Artificial Intelligence

User-Defined Keywords

Lyapunov Exponent
Chaotic System
Master Equation
Stochastic System
Noise Intensity

Access to Document

10.1007/978-3-642-04629-2_9

Cite this

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title = "Stochastic Synchronization",

abstract = "The manner in which deterministic nonlinear dynamical systems synchronize differs significantly from the analogous phenomenon in stochastic systems. In this brief review, we discuss the basic issues pertaining to synchrony in the presence of stochasticity. This issue has gained in importance in recent years in part due to the study of finite systems. In particular, biological processes at the cellular and sub cellular level are subject to large fluctuations and nevertheless exhibit significant temporal correlations over a wide range of time-scales. The emergence and maintenance of stochastic synchrony is thus of fundamental importance, and we discuss some illustrative cases.",

keywords = "Lyapunov Exponent, Chaotic System, Master Equation, Stochastic System, Noise Intensity",

author = "Ram Ramaswamy and Singh, {R. K.Brojen} and Changsong Zhou and J{\"u}rgen Kurths",

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edition = "1st",

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Stochastic Synchronization. / Ramaswamy, Ram; Singh, R. K.Brojen; Zhou, Changsong et al.
Nonlinear Dynamics and Chaos: Advances and Perspectives. ed. / Marco Thiel; Jürgen Kurths; M. Carmen Romano; György Károlyi; Alessandro Moura. 1st. ed. Springer Berlin Heidelberg, 2010. p. 177-193 (Understanding Complex Systems; Vol. 2010).

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Stochastic Synchronization

AU - Ramaswamy, Ram

AU - Singh, R. K.Brojen

AU - Zhou, Changsong

AU - Kurths, Jürgen

PY - 2010/4/20

Y1 - 2010/4/20

N2 - The manner in which deterministic nonlinear dynamical systems synchronize differs significantly from the analogous phenomenon in stochastic systems. In this brief review, we discuss the basic issues pertaining to synchrony in the presence of stochasticity. This issue has gained in importance in recent years in part due to the study of finite systems. In particular, biological processes at the cellular and sub cellular level are subject to large fluctuations and nevertheless exhibit significant temporal correlations over a wide range of time-scales. The emergence and maintenance of stochastic synchrony is thus of fundamental importance, and we discuss some illustrative cases.

AB - The manner in which deterministic nonlinear dynamical systems synchronize differs significantly from the analogous phenomenon in stochastic systems. In this brief review, we discuss the basic issues pertaining to synchrony in the presence of stochasticity. This issue has gained in importance in recent years in part due to the study of finite systems. In particular, biological processes at the cellular and sub cellular level are subject to large fluctuations and nevertheless exhibit significant temporal correlations over a wide range of time-scales. The emergence and maintenance of stochastic synchrony is thus of fundamental importance, and we discuss some illustrative cases.

KW - Lyapunov Exponent

KW - Chaotic System

KW - Master Equation

KW - Stochastic System

KW - Noise Intensity

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SN - 9783642263453

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SP - 177

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A2 - Thiel, Marco

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A2 - Romano, M. Carmen

A2 - Károlyi, György

A2 - Moura, Alessandro

PB - Springer Berlin Heidelberg

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Stochastic Synchronization

Abstract

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Scopus Subject Areas

User-Defined Keywords

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