Saha, A. orcid.org/0000-0002-1685-4057 and Amritkar, R.E. (2014) Dependence of synchronization frequency of Kuramoto oscillators on symmetry of intrinsic frequency in ring network. Pramana, 83 (6). pp. 945-953. ISSN 0304-4289
Abstract
Kuramoto oscillators have been proposed earlier as a model for interacting systems that exhibit synchronization. In this article, we study the difference between networks with symmetric and asymmetric distribution of natural frequencies. We first indicate that synchronization frequency of oscillators in a completely connected network is always equal to the mean of the natural frequency distribution. In particular, shape of the natural frequency distribution does not affect the synchronization frequency in this case. Then, we analyse the case of oscillators in a directed ring network, where asymmetry in the natural frequency distribution is seen to shift the synchronization frequency of the network. We also present an estimate of the shift in the frequencies for slightly asymmetric distributions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 Indian Academy of Sciences. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Kuramoto; synchronization; asymmetry; frequency distribution |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 20 Jan 2020 13:47 |
Last Modified: | 20 Jan 2020 13:53 |
Status: | Published |
Publisher: | Springer Science and Business Media LLC |
Refereed: | Yes |
Identification Number: | 10.1007/s12043-014-0831-5 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:155026 |