Periodicity Manifestations in the Non-Locally Coupled Maps

Details Periodicity Manifestations in the Non-Locally Coupled Maps Periodicity Manifestations in the Non-Locally Coupled Maps

2001-07-30

arxiv.org/abs/nlin/0107068v3

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1016/S0167-2789(02)00500-6

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.

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