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Spatiotemporally periodic states, periodic windows, and intermittency in coupled-map lattices

Zhilin Qu, Gang Xiang Hu

Abstract

Several stable spatiotemporally periodic states in coupled- (logistic) map lattices are analytically obtained. Spatiotemporally periodic windows are found in the parameter region where the single logistic map is in a fully developed chaotic state. Spatiotemporal intermittency transients and spatiotemporal intermittency and their mechanisms are discussed. Chaotic supertransients and their average transient lengths are investigated. The influence of the system size on the system dynamics is analyzed numerically in detail. Finally, we try to control chaotic supertransients by pinnings; the astronomically long transients are impressively shortened after controlling.

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Key concepts: Intermittency, Logistic map, Chaotic, Statistical physics, Physics, Coupled map lattice, Transient (computer programming), State (computer science)