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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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.
AbstractList 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.
Author Ujjwal, Sangeeta Rani
Atay, Fatihcan M
Ramaswamy, Ramakrishna
Punetha, Nirmal
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  organization: University of Hyderabad, Hyderabad 500 046, India
BackLink https://www.ncbi.nlm.nih.gov/pubmed/25768584$$D View this record in MEDLINE/PubMed
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Snippet 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,...
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