267 citations · 492 across the 4 of their papers we have counts for
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The onset of synchronization in large networks of coupled oscillators
Juan G. Restrepo, Brian R. Hunt, Edward Ott
We study the transition from incoherence to coherence in large networks of coupled phase oscillators. We present various approximations that describe the behavior of an appropriate…
Desynchronization waves and localized instabilities in oscillator arrays
Juan G. Restrepo, Edward Ott, Brian R. Hunt
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 m…
Spatial patterns of desynchronization bursts in networks
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We adapt a previous model and analysis method (the {\it master stability function}), extensively used for studying the stability of the synchronous state of networks of identical c…