title: Traveling waves and compactons in phase oscillator lattices.
abstract: We study waves in a chain of dispersively coupled phase oscillators. Two approaches--a quasicontinuous approximation and an iterative numerical solution of the lattice equation--allow us to characterize different types of traveling waves: compactons, kovatons, solitary waves with exponential tails as well as a novel type of semicompact waves that are compact from one side. Stability of these waves is studied using numerical simulations of the initial value problem.
authors.affiliation: Department of Physics, Potsdam University, Potsdam 14476, Germany.
authors.forename: Karsten
authors.initials: K
authors.lastname: Ahnert
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback; D053858:Metabolic Networks and Pathways / Q000502:physiology*; D008962:Models, Theoretical; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*