Selivanov, A.A. orcid.org/0000-0001-5075-7229, Lehnert, J., Dahms, T. et al. (3 more authors) (2012) Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators. Physical Review E, 85 (1). 016201. ISSN 2470-0045
Abstract
We consider networks of delay-coupled Stuart-Landau oscillators. In these systems, the coupling phase has been found to be a crucial control parameter. By proper choice of this parameter one can switch between different synchronous oscillatory states of the network. Applying the speed-gradient method, we derive an adaptive algorithm for an automatic adjustment of the coupling phase such that a desired state can be selected from an otherwise multistable regime. We propose goal functions based on both the difference of the oscillators and a generalized order parameter and demonstrate that the speed-gradient method allows one to find appropriate coupling phases with which different states of synchronization, e.g., in-phase oscillation, splay, or various cluster states, can be selected.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2012 American Physical Society. This is an author-produced version of a paper subsequently published in Physical Review E. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | synchronization; delay; networks; Hopf normal forms |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 27 Mar 2020 08:38 |
Last Modified: | 27 Mar 2020 23:22 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Refereed: | Yes |
Identification Number: | 10.1103/physreve.85.016201 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158756 |