Year: 2018
Type: article
Abstract: We demonstrate the existence of solitary waves of synchrony in one-dimensional arrays of oscillator populations with Laplacian coupling. Characterizing each community with its complex order parameter, we obtain lattice equations similar to those of the discrete nonlinear Schr\"odinger system. Close to full synchrony, we find solitary waves for the order parameter perturbatively, starting from the known phase compactons and kovatons; these solutions are extended numerically to the full domain of possible synchrony levels. For nonidentical oscillators, the existence of dissipative solitons is shown.
Source: Physical review. E
Authors: L. A. Smirnov, G. V. Osipov, A. Pikovsky
Institutions: Institute of Applied Physics, University of Potsdam
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Awards: G3243095380, G4612055867, G8410176470
OpenAlex ID: W2886828860