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| 1. | Punetha, Nirmal; Ujjwal, Sangeeta Rani; Atay, Fatihcan M; Ramaswamy, Ramakrishna Delay-induced remote synchronization in bipartite networks of phase oscillators Journal Article Physical Review E – Statistical, Nonlinear, and Soft Matter Physics, 91 (2), pp. 1–7, 2015, ISSN: 15502376. Abstract | Links | BibTeX | Tags: Bipartite Network, Delay, Synchronization @article{Punetha2015, title = {Delay-induced remote synchronization in bipartite networks of phase oscillators}, author = {Nirmal Punetha and Sangeeta Rani Ujjwal and Fatihcan M Atay and Ramakrishna Ramaswamy}, url = {https://ramramaswamy.org/papers/159.pdf}, doi = {10.1103/PhysRevE.91.022922}, issn = {15502376}, year = {2015}, date = {2015-01-01}, journal = {Physical Review E – Statistical, Nonlinear, and Soft Matter Physics}, volume = {91}, number = {2}, pages = {1–7}, 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.}, keywords = {Bipartite Network, Delay, Synchronization}, pubstate = {published}, tppubtype = {article} } 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. |