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Verwoerd, Mark and Mason, Oliver (2007) Conditions for the existence of fixed points in a finite system of Kuramoto oscillators. In: Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 11-13, 2007. IEEE, pp. 4613-4618. ISBN 1-4244-0988-8
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Abstract
We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled
phase oscillators on a complete graph. We use these conditions
to derive bounds on the critical coupling.
| Item Type: | Book Section |
|---|---|
| Additional Information: | "©2007 IEEE. Reprinted from Proceedings of the 2007 American Control Conference, Marriott Marquis Hotel at Times Square, New York City, USA, July 11-13, 2007. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282532&isnumber=4282135 |
| Keywords: | Oscillators; Kuramoto oscillators; Coupled phase oscillators; Critical coupling bounds; ACC '07; Hamilton Isntitute. |
| Academic Unit: | Faculty of Science and Engineering > Biology Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1715 |
| Depositing User: | Hamilton Editor |
| Date Deposited: | 02 Dec 2009 14:55 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/1715 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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