Clustering dynamics in globally coupled map lattices

Details Clustering dynamics in globally coupled map lattices Clustering dynamics in globally coupled map lattices

1996-12-27

arxiv.org/abs/chao-dyn/9701001v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, Latex, 5 Postscript figures

Scientific paper

10.1103/PhysRevE.56.1567

Clustering bifurcations are investigated by considering models of globally coupled map lattices. Typical classes of clustering bifurcations are revealed. The clustering bifurcation thresholds of the coupled system are closely related to the bifurcation structures of single map. In particular, cluster-doubling bifurcation induced period-doubling bifurcations and clustering induced chaos are found. At the onset of multiple-cluster states, equal-site-occupation-partition, and consequently, equal-phase-shift states (the so-called antiphase states reported previously, Phys. Rev. Lett. 65, 1749 (1990)) are always identified numerically.

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