Transitions to Intermittency and Collective Behavior in Randomly Coupled Map Networks

Details Transitions to Intermittency and Collective Behavior in Randomly Coupled Map Networks Transitions to Intermittency and Collective Behavior in Randomly Coupled Map Networks

2001-04-10

arxiv.org/abs/nlin/0104030v5

Nonlinear Sciences

Chaotic Dynamics

29 pages, 18 figures (included), Proceedings of ZiF Workshop: "Scinece of Complexity", Bielefeld University, Germany

Scientific paper

We study the transitions to spatio-temporal intermittency in networks of randomly coupled Chate-Manneville maps. The relevant paprameters are the network connectivity, coupling strength, and the local parameter of the map. We show that the spatio-temporal intermittency occurs for some intervals or windows of the values of these parameters. Within the intermittency windows, the system exhibits periodic and other nontrivial collective behaviors. The detailed behavior depends crucially upon the topology of the random graph spanning the network. We present a detailed analysis of the results based on the thermodynamic formalism and random graph theory.

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