Noise-induced macroscopic bifurcations in populations of globally coupled maps

Populations of globally coupled identical maps subject to additive, independent noise are studied in the regimes of strong coupling. Contrary to each noisy population element, the mean field dynamics undergoes qualitative changes when the noise strength is varied. In the limit of infinite population...

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Bibliographic Details
Published inarXiv.org
Main Authors De Monte, Silvia, d'Ovidio, Francesco, Mosekilde, Erik
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 07.01.2003
Subjects
Bifurcations
Exponential functions
Mathematical analysis
Noise
Order parameters
Polynomials
Populations
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ISSN2331-8422

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Summary:Populations of globally coupled identical maps subject to additive, independent noise are studied in the regimes of strong coupling. Contrary to each noisy population element, the mean field dynamics undergoes qualitative changes when the noise strength is varied. In the limit of infinite population size, these macroscopic bifurcations can be accounted for by a deterministic system, where the mean-field, having the same dynamics of each uncoupled element, is coupled with other order parameters. Different approximation schemes are proposed for polynomial and exponential functions and their validity discussed for logistic and excitable maps.
Bibliography:content type line 50
SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
ISSN:2331-8422