Noise-induced macroscopic bifurcations in globally-coupled chaotic units

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.

arXiv commentPhys. Rev. Lett., accepted

References in corpus (7)

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• Coherent regimes of globally coupled dynamical systems
• Noise Induced Coherence in Neural Networks
• Noiseless Collective Motion out of Noisy Chaos
• Phase synchronization and noise-induced resonance in systems of coupled oscillators
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Cited by in corpus (12)

• Characterizing dynamics with covariant Lyapunov vectors
• Entrainment transition in populations of random frequency oscillators
• Lyapunov analysis captures the collective dynamics of large chaotic systems
• Collective Lyapunov modes
• Synchronizing noisy nonidentical oscillators by transient uncoupling
• Coherent regimes of mutually coupled Chua's circuits
• Effects of microscopic disorder on the collective dynamics of globally coupled maps
• Phase transitions induced by microscopic disorder: a study based on the order parameter expansion
• Order parameter expansion study of synchronous firing induced by quenched noise in the active rotator model
• Low-dimensional chaos in populations of strongly-coupled noisy maps
• Integrable order parameter dynamics of globally coupled oscillators
• Local integrability breaking and exponential localization of leading Lyapunov vectors