Noise-induced macroscopic bifurcations in globally coupled chaotic units

Silvia de Monte, F. d'Ovideo, H. Chaté, Erik Mosekilde

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Abstract

Large populations of globally coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that, for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equations of motion are systematically derived through an order parameter expansion.
Original languageEnglish
JournalPhysical Review Letters
Volume92
Issue number25
Pages (from-to)254101
ISSN0031-9007
DOIs
Publication statusPublished - 2004

Bibliographical note

Copyright (2004) American Physical Society.

Keywords

  • SYSTEMS
  • COLLECTIVE BEHAVIOR
  • MOTION
  • MAP LATTICES
  • COHERENCE
  • INDUCED SYNCHRONIZATION
  • DYNAMICS
  • OSCILLATIONS
  • ARRAYS
  • RESONANCE

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