Delay-induced remote synchronization in bipartite networks of phase oscillators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Nirmal PunethaRamakrishna Ramaswamy

Abstract

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.

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Citations

Apr 19, 2017·Physical Review. E·Sangeeta Rani UjjwalRamakrishna Ramaswamy
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nirmal PunethaFatihcan M Atay

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