Colored-noise-induced chaotic array synchronization

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
M N Lorenzo, V Pérez-Muñuzuri

Abstract

The effect of a time-correlated Gaussian noise on one-dimensional arrays consisting of diffusively coupled chaotic cells is analyzed. A resonance effect between the time scale of the chaotic attractor and the colored Gaussian noise has been found. As well, depending on the number of cells, coupling, and noise strength, an improvement of the synchronization or a poor synchronization between cells within the array can occur for some values of the time correlation. These nonlinear cooperative effects are studied in terms of a linear stability analysis around the uniform synchronized behavior.

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