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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
109/2014

Delay-induced remote synchronization in bipartite networks of phase oscillators

Nirmal Punetha, Sangeeta Ujjwal, Fatihcan M. Atay and Ramakrishna 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.

Received:
Nov 13, 2014
Published:
Nov 17, 2014
PACS:
05.45.Ac, 05.45.Pq, 05.45.Xt

Related publications

inJournal
2015 Repository Open Access
Nirmal Punetha, Sangeeta Ujjwal, Fatihcan M. Atay and Ramakrishna Ramaswamy

Delay-induced remote synchronization in bipartite networks of phase oscillators

In: Physical review / E, 91 (2015) 2, p. 022922