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Discontinuous synchrony in an array of Van der Pol oscillators
Authors:Przemyslaw Perlikowski  Andrzej Stefanski  Tomasz Kapitaniak
Institution:a Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland
b Institute of Mathematics, Humboldt University of Berlin, Unter den Linden 6, 10099 Berlin, Germany
Abstract:We show the phenomenon of complete synchronization in an network of coupled oscillators. We confirm that non-diagonal coupling can lead to the appearance or disappearance of synchronous windows (ragged synchronizability phenomenon) in the coupling parameter space. We also show the appearance of clusters (synchronization in one or more group) between coupled systems. Our numerical studies are confirmed by an electronic experiment.
Keywords:Complete synchronization  Van der Pol oscillator  Ragged synchronizability  Clusters
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