Cluster dynamics in systems with constant mean field coupling

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.

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

References in corpus (1)

• Driven Maps and the Emergence of Ordered Collective Behavior in Globally Coupled Maps

Cited by in corpus (3)

• Dynamics of Coupling Functions in Globally Coupled Maps: Size, Periodicity and Stability of Clusters
• Periodicity Manifestations in the Turbulent Regime of Globally Coupled Map Lattice
• Periodicity Manifestations in the Non-Locally Coupled Maps