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A system of nearest neighbors Kuramoto-like coupled oscillators placed in aring is studied above the critical synchronization transition. We find arichness of solutions when the coupling increases, which exists only within asolvability region (SR). We also find that they posses differentcharacteristics, depending on the section of the boundary of the SR where thesolutions appear. We study the birth of these solutions and how they evolvewhen {K} increases, and determine the diagram of solutions in phase space.

Multistable behavior above synchronization in a locally coupled Kuramoto model