Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
767511 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 13 Pages |
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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Authors
Jacqueline Bridge, Richard Rand, Si Mohamed Sah,