On the Collective Motion in Globally Coupled Chaotic Systems

Details On the Collective Motion in Globally Coupled Chaotic Systems On the Collective Motion in Globally Coupled Chaotic Systems

1997-03-26

arxiv.org/abs/chao-dyn/9703017v1

Nonlinear Sciences

Chaotic Dynamics

12 pages, Latex, 3 eps figures included also available "at http://athene.fkp.physik.th-darmstadt.de/public/wolfram.html" or "a

Scientific paper

10.1016/S0370-1573(97)00061-6

A mean-field formulation is used to investigate the bifurcation diagram for globally coupled tent maps by means of an analytical approach. It is shown that the period doubling sequence of the single site map induces a continuous family of periodic states in the coupled system. This type of collective motion breaks the ergodicity of the coupled map lattice. The stability analysis suggests that these states are stable for weak coupling strength but opens the possibility for more complicated types of motion in the regime of moderate coupling.

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