2018/08/05 by L. A. Smirnov, G. V. Osipov, A. Pikovsky · 1 citation
Physics and Astronomy · #nlin.PS
paper · pdf · doi:10.1103/physreve.98.062222
published as Phys. Rev. E 98, 062222 (2018) · 5 pages, 6 figures
arxiv created 2018/08/05 · arxiv updated 2019/01/02
We demonstrate existence of solitary waves of synchrony in one-dimensional arrays of identical oscillators with Laplacian coupling. Coarse-grained description of the array leads to nonlinear equations for the complex order parameter, in the simplest case to lattice equations similar to those of the discrete nonlinear Schrodinger lattice. 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.