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

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

1996-12-14

arxiv.org/abs/chao-dyn/9612022v2

Phys. Rev. E, 57 (1998) 1570

Nonlinear Sciences

Chaotic Dynamics

6 pages, 9 Postscript figures, uses revtex.sty

Scientific paper

10.1103/PhysRevE.57.1570

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.

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