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The synchronization of stochastic oscillators

2006/08/10 by Amitabha Nandi, G. Santhosh, Nandi, Amitabha +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Nonlinear Dynamics and Pattern Formation #Quantitative Methods (q-bio.QM) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.q-bio/0608022

openalex publication_date 2006/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic oscillators does not occur, but appropriately defined oscillator phase variables coincide. This is illustrated in model chemical systems and genetic networks that produce oscillations in the dynamical variables, and we show that suitable coupling of different networks can result in their phase synchronization.

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