Cluster dynamics in systems with constant mean field coupling

Details Cluster dynamics in systems with constant mean field coupling Cluster dynamics in systems with constant mean field coupling

1998-08-07

arxiv.org/abs/chao-dyn/9808009v1

Nonlinear Sciences

Chaotic Dynamics

3 pages, 3 figs; submitted to Int. J. Bifurcations and Chaos

Scientific paper

A procedure to predict the occurrence of periodic clusters in a system of globally coupled maps displaying a constant mean field is presented. The method employs the analogy between a system of globally coupled maps and a single map driven by a constant force. By obtaining the asymptotic orbits of the driven map, an associated coupling function can be constructed. This function allows to establish a direct connection between both systems. Some applications are shown.

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