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Synchronization and cluster periodic solutions in globally coupled maps

Author

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  • Gelover-Santiago, A.L
  • Lima, R
  • Martı́nez-Mekler, G

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.

Suggested Citation

  • Gelover-Santiago, A.L & Lima, R & Martı́nez-Mekler, G, 2000. "Synchronization and cluster periodic solutions in globally coupled maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(1), pages 131-135.
    • Handle: RePEc:eee:phsmap:v:283:y:2000:i:1:p:131-135
    DOI: 10.1016/S0378-4371(00)00139-4
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    Cited by:

    1. Atmanspacher, Harald & Scheingraber, Herbert, 2005. "Stabilization of causally and non-causally coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 435-447.

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    Keywords

    Synchronization; Globally coupled maps;

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