PMID: 11308744Apr 20, 2001Paper

Strong desynchronizing effects of weak noise in globally coupled systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jun-Nosuke Teramae, Y Kuramoto

Abstract

In assemblies of globally coupled dynamical units, weak noise perturbing independently the individual units can cause anomalous dispersion in the synchronized cloud of the units in the phase space. When the noise-free dynamics of the synchronized assembly is nonperiodic, various moments of the linear dimension of the cloud as a function of the noise strength exhibit multiscaling properties with parameter-dependent scaling exponents. Some numerical evidence of this peculiar behavior as well as its interpretation in terms of a multiplicative stochastic process with small additive noise is provided. Universality of the phenomenon is also discussed.

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Citations

Aug 8, 2008·Biological cybernetics·Jun-nosuke Teramae, Tomoki Fukai
Jan 22, 2010·PLoS Computational Biology·Nicolas TabareauQuang-Cuong Pham
Feb 2, 2008·IEEE Transactions on Neural Networks·S R CampbellC Jayaprakash
May 2, 2016·Chaos·Ugur Tirnakli, Constantino Tsallis
Dec 17, 2004·Physical Review Letters·Jun-Nosuke Teramae, Dan Tanaka
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandra S Landsman, Ira B Schwartz
Nov 13, 2009·Physical Review Letters·Kazumasa A TakeuchiHugues Chaté
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alessandro PluchinoConstantino Tsallis
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E I Volkov, D V Volkov
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adam G HendricksEdgar Meyhöfer
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ken NagaiYasuhiro Tsubo
Jul 13, 2004·Physical Review Letters·Silvia De MonteErik Mosekilde

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