Abstract
In this work, we analyze the synchronization role in a 1D array of coupled continuous chaotic elements. The ordinary differential equations, which represent each chaotic element, have a stable linear part perturbed by a bounded nonlinear function. A theorem is established to give sufficient condition to obtain synchronization of the array. Then, the above results are applied to a 2D network of coupled Wilson-Cowan neural oscillators showing how to solve scene segmentation problems by rapid chaotic synchronization and desynchronization. Computer simulations confirm the mathematical analysis.
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