314 citations · 2k across the 57 of their papers we have counts for
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Hierarchical Synchrony of Phase Oscillators in Modular Networks
Per Sebastian Skardal, Juan G. Restrepo
We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is…
Unidirectional Pinning and Hysteresis of Spatially Discordant Alternans in Cardiac Tissue
Per Sebastian Skardal, Alain Karma, Juan G. Restrepo
Spatially discordant alternans is a widely observed pattern of voltage and calcium signals in cardiac tissue that can precipitate lethal cardiac arrhythmia. Using spatially coupled…
Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
Per Sebastian Skardal, Edward Ott, Juan G. Restrepo
We study the phenomenon of cluster synchrony that occurs in ensembles of coupled phase oscillators when higher-order modes dominate the coupling between oscillators. For the first…