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Supplemental Material: Is repulsion good for the health of Chimeras?

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journal contribution
modified on 11.10.2017, 03:57
A chimera state refers to the coexistence of a coherent-incoherent dynamical evolution of identically coupled
oscillators. We investigate the impact of multiplexing of a lyer having repulsively coupled oscillators on
occurrence of chimeras in the layer having attractively coupled identical oscillators. We report that there
exists an enhancement in the appearance of chimera state in one layer of multiplex network in the presence
of repulsive coupling in the other layer. Furthermore, we show that a small amount of inhibition or repulsive
coupling in one layer is sufficient to yield chimera state in another layer by destroying its synchronized
behavior. These results can be used to get insight into dynamical behaviors of those systems where both
attractive and repulsive coupling exist among their constituents.