Clustering dynamics in globally coupled map lattices
chao-dyn
2009-10-30 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9701001,
title = {Clustering dynamics in globally coupled map lattices},
author = {Fagen Xie and Gang Hu},
journal= {arXiv preprint arXiv:chao-dyn/9701001},
year = {2009}
}
Comments
4 pages, Latex, 5 Postscript figures