Clustering dynamics in globally coupled map lattices

Fagen Xie; Gang Hu

doi:10.1103/physreve.56.1567

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arXiv · chao-dyn/9701001

Clustering dynamics in globally coupled map lattices

Fagen Xie·Gang Hu

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Abstract

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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Fagen Xie, Gang Hu. 1996-12-27. Clustering dynamics in globally coupled map lattices. https://doi.org/10.1103/physreve.56.1567

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