Dynamics of a ring network of phase-only oscillators |
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| Authors: | Jacqueline Bridge Richard Rand Si Mohamed Sah |
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| Affiliation: | 1. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Department of Physics, Faculty of Science, P. O. Box 812, Yaoundé, Cameroon;2. Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium;1. University of Toronto Institute for Aerospace Studies, Toronto, ON M3H 5T6, Canada;2. GE Global Research Center, Niskayuna, NY 12309, USA |
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| Abstract: | We investigate the existence, stability and bifurcation of phase-locked motions in a ring network consisting of phase-only oscillators arranged in multiple simple rings (sub-rings) which are themselves arranged in a single large ring. In the case of networks with three or four sub-rings, we give approximate expressions for critical coupling coefficients which must be exceeded in order for phase-locking to occur. |
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