Dynamics of Coupled Oscillator Systems - Abstract
We demonstrate existence of solitary waves of synchrony in one-dimensional arrays of oscillator populations with Laplacian coupling. Characterizing each subpopulation with its complex order parameter, we obtain lattice equations similar to those of the discrete nonlinear Schrödinger system. Close to full synchrony, we find solitary waves for the order parameter perturbatively, starting from the known phase compactons and kovatons; these solution are extended numerically to the full domain of possible synchrony levels. For non-identical oscillators, existence of dissipative solitons is demonstrated.