Delay-induced remote synchronization in bipartite networks of phase oscillators

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

Contact the author: Please use for correspondence this email.
Submission date: 13. Nov. 2014
published in: Physical review / E, 91 (2015) 2, art-no. 022922 
DOI number (of the published article): 10.1103/PhysRevE.91.022922
Bibtex
PACS-Numbers: 05.45.Ac, 05.45.Pq, 05.45.Xt

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.