Delay-induced remote synchronization in bipartite networks of phase oscillators

We study a system of mismatched oscillators on a bipartite topology with time-delay coupling, and analyze the synchronized states. For a range of parameters, when all oscillators lock to a common frequency, we find solutions such that systems within a partition are in complete synchrony, while there...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 91; no. 2; p. 022922
Main Authors Punetha, Nirmal, Ujjwal, Sangeeta Rani, Atay, Fatihcan M, Ramaswamy, Ramakrishna
Format Journal Article
LanguageEnglish
Published United States 01.02.2015
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Summary:We study a system of mismatched oscillators on a bipartite topology with time-delay coupling, and analyze the synchronized states. For a range of parameters, when all oscillators lock to a common frequency, we find solutions such that systems within a partition are in complete synchrony, while there is lag synchronization between the partitions. Outside this range, such a solution does not exist and instead one observes scenarios of remote synchronization-namely, chimeras and individual synchronization, where either one or both of the partitions are synchronized independently. In the absence of time delay such states are not observed in phase oscillators.
ISSN:1550-2376
DOI:10.1103/PhysRevE.91.022922