Globally coupled logistic maps as dynamical glasses

Manrubia, Susanna C.; Mikhailov, Alexander S.

doi:10.1209/epl/i2001-00262-4

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Globally coupled logistic maps as dynamical glasses

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Manrubia, Susanna C.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov, Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Manrubia, S. C., & Mikhailov, A. S. (2001). Globally coupled logistic maps as dynamical glasses. EPL, 53(4), 451-457. doi:10.1209/epl/i2001-00262-4.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-18F6-9

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.