Anomalous spatio-temporal chaos in a two-dimensional system of non-locally coupled oscillators

Abstract

A two-dimensional system of non-locally coupled complex Ginzburg-Landau oscillators is investigated numerically for the first time. As already known for the one-dimensional case, the system exhibits anomalous spatio-temporal chaos characterized by power-law spatial correlations. In this chaotic regime, the amplitude difference between neighboring elements shows temporal noisy on-off intermittency. The system is also spatially intermittent in this regime, which is revealed by multi-scaling analysis; the amplitude field is multi-affine and the difference field is multi-fractal. Correspondingly, the probability distribution function of the measure defined for each field is strongly non-Gaussian, showing scale-dependent deviations in the tails due to intermittency.

9 pages, 14 figures, submitted to Chaos

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• Independent Component Analysis of Spatiotemporal Chaos
• Synchronization of nonlinearly coupled Stuart-Landau oscillators on networks