Heterogeneity Induced Order in Globally Coupled Chaotic Systems

Abstract

Collective behavior is studied in globally coupled maps with distributed nonlinearity. It is shown that the heterogeneity enhances regularity in the collective dynamics. Low-dimensional quasiperiodic motion is often found for the mean-field, even if each element shows chaotic dynamics. The mechanism of this order is due to the formation of an internal bifurcation structure, and the self-consistent dynamics between the structures and the mean-field. Keywords: Globally Coupled Map with heterogeneity, Collective behavior

11 pages (Revtex) + 4 figures (PostScript,tar+gzip)

References in corpus (2)

• Relevance of Dynamic Clustering to Biological Networks
• Remarks on the mean field dynamics of networks of chaotic elements

Cited by in corpus (5)

• Collective Chaos
• Noiseless Collective Motion out of Noisy Chaos
• Macroscopic chaos in globally coupled maps
• On the Tongue-Like Bifurcation Structures of the Mean-Field Dynamics in a Network of Chaotic Elements
• Diversity-induced decoherence