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Synchronization and cluster periodic solutions in globally coupled maps

A.l Gelover-Santiago, R Lima and G Martı́nez-Mekler

Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 1, 131-135

Abstract: The purpose of this work is to investigate mechanisms by which synchronization takes place in networks of elements with global couplings. We consider a family of globally coupled nonlinear maps and find, for each model, sufficient conditions for synchronization. We also analyze bifurcations of syncrhonized dynamics to other homogeneous and cluster periodic solutions in terms of corresponding low-dimensional maps.

Keywords: Synchronization; Globally coupled maps (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:1:p:131-135

DOI: 10.1016/S0378-4371(00)00139-4

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