Globally coupled logistic maps as dynamical glasses

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2001 EDP Sciences
, , Citation S. C. Manrubia and A. S. Mikhailov 2001 EPL 53 451 DOI 10.1209/epl/i2001-00262-4

0295-5075/53/4/451

Abstract

We compute distributions of overlaps between replicas and discuss replica symmetry breaking in a large dynamical system formed by globally coupled logistic maps under partial synchronization conditions. By computing and analyzing three-replica overlap distributions, the ultrametric hierarchical organization of attractors in this system is tested.

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10.1209/epl/i2001-00262-4