Collective Chaos

Details Collective Chaos Collective Chaos

1998-05-11

arxiv.org/abs/chao-dyn/9805009v1

Nonlinear Sciences

Chaotic Dynamics

11 pages (REVTeX) + 4 figures

Scientific paper

10.1103/PhysRevLett.81.4116

An algorithm to characterize collective motion is presented, with the introduction of ``collective Lyapunov exponent'', as the orbital instability at a macroscopic level. By applying the algorithm to a globally coupled map, existence of low-dimensional collective chaos is confirmed, where the scale of (high-dimensional) microscopic chaos is separated from the macroscopic motion, and the scale approaches zero in the thermodynamic limit. pacs:05.45+b,05.90+m,64.60.Cn

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