Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements

Abstract

We discovered numerically a scaling law obeyed by the amplitude of collective mo tion in large populations of chaotic elements. Our analysis strongly suggests that such populations generically exhibit collective motion in the presence of interaction, however weak it may be. A phase diagram for the collective motion, which is characterized by peculiar structures similar to Arnold tongues, is obtained.

6 pages, 9 Postscript figures, uses revtex.sty

References in corpus (1)

• Bifurcations in Globally Coupled Chaotic Maps

Cited by in corpus (11)

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• Confined chaotic behavior in collective motion for populations of globally coupled chaotic elements
• Collective motions in globally coupled tent maps with stochastic updating
• Large deviations from the thermodynamic limit in globally coupled maps
• Low-dimensional chaos in populations of strongly-coupled noisy maps
• Nonuniversal large-size asymptotics of the Lyapunov exponent in turbulent globally coupled maps