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Periodicity Manifestations in the Non-Locally Coupled Maps

Tokuzo Shimada·Shou Tsukada
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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.

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Tokuzo Shimada, Shou Tsukada. 2001-11-10. Periodicity Manifestations in the Non-Locally Coupled Maps. https://doi.org/10.1016/s0167-2789(02)00500-6

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