Multistable behavior above synchronization in a locally coupled Kuramoto model
arXiv:1102.3890 · doi:10.1103/PhysRevE.83.066206
Abstract
A system of nearest neighbors Kuramoto-like coupled oscillators placed in a ring is studied above the critical synchronization transition. We find a richness of solutions when the coupling increases, which exists only within a solvability region (SR). We also find that they posses different characteristics, depending on the section of the boundary of the SR where the solutions appear. We study the birth of these solutions and how they evolve when {K} increases, and determine the diagram of solutions in phase space.
8 pages, 10 figures
References in corpus (4)
- Synchronization in complex networks
- Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling
- Analytic Determination of the Critical Coupling for Oscillators in a Ring
- Analytical calculation of the transition to complete phase synchronization in coupled oscillators
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