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Desynchronization Waves and Localized Instabilities in Oscillator Arrays

Desynchronization Waves and Localized Instabilities in Oscillator Arrays

We consider a ring of identical or near-identical coupled periodic oscillators in which the connections have randomly heterogeneous strength. We use the master stability function method to determine the possible patterns at the desynchronization transition that occurs as the coupling strengths are increased. We demonstrate Anderson localization of the modes …