Periodicity Manifestations in the Non-Locally Coupled Maps

Abstract

We study how periodicity manifestations recently found in the turbulent globall coupled maps depend on the global feature of the couplings. We examine three non-locally coupled map models. In the first two, the all-to-all interaction is maintained but the coupling decreases with distance in a power and an exponential law. In the third, the interaction is uniform but cut off sharply. We find that, in all three and in dimension $D=1,2,3$, periodicity manifests universally from turbulence when the same suppression of the local mean field fluctuation is achieved by the non-local averaging.

6 pages, 3 figures, 1 table, RevTex, factor F clarified, figure 3 changed

References in corpus (6)

• Remarks on the mean field dynamics of networks of chaotic elements
• Disturbance propagation in chaotic extended systems with long-range coupling
• On the Tongue-Like Bifurcation Structures of the Mean-Field Dynamics in a Network of Chaotic Elements
• Bifurcations in Globally Coupled Map Lattices
• Periodicity Manifestations in the Turbulent Regime of Globally Coupled Map Lattice
• Cluster dynamics in systems with constant mean field coupling

Cited by in corpus (1)

• Noise-induced macroscopic bifurcations in globally-coupled chaotic units