Very long transients in globally coupled maps

Abstract

Very long transients are found in the partially ordered phase of type II of globally coupled logistic maps. The transients always lead the system in this phase to a state with a few synchronous clusters. This transient behaviour is not significantly influenced by the introduction of weak noises. However, such noises generally favor cluster partitions with more stable periodic dynamics.

4 pages, 5 figures included

References in corpus (2)

• Mutual synchronization and clustering in randomly coupled chaotic dynamical networks
• First-principles and semi-empirical calculations for bound hole polarons in KNbO3

Cited by in corpus (5)

• Synchronization of Kauffman networks
• Effects of microscopic disorder on the collective dynamics of globally coupled maps
• Long transients and cluster size in globally coupled maps
• Low-dimensional chaos in populations of strongly-coupled noisy maps
• Logarithmically slow onset of synchronization