Globally coupled logistic maps as dynamical glasses
Fritz-Haber-Institut der Max-Planck-Gesellschaft
Faradayweg 4-6, 14195 Berlin, Germany
2 MPI for Colloids and Interfaces, Theory Division 14424 Potsdam, Germany
Accepted: 29 November 2000
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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Xt – Synchronization; coupled oscillators / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2001