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Dynamics of a ring network of phase-only oscillators

โœ Scribed by Jacqueline Bridge; Richard Rand; Si Mohamed Sah

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
406 KB
Volume
14
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

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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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