Cluster dynamics in systems with constant mean field coupling

A. Parravano; M. G. Cosenza

doi:10.1142/s0218127499001802

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arXiv · chao-dyn/9808009

Cluster dynamics in systems with constant mean field coupling

A. Parravano·M. G. Cosenza

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Abstract

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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A. Parravano, M. G. Cosenza. 1998-08-07. Cluster dynamics in systems with constant mean field coupling. https://doi.org/10.1142/s0218127499001802

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