Traveling waves and Compactons in Phase Oscillator Lattices
Pattern Formation and Solitons
2011-10-17 v2
Abstract
We study waves in a chain of dispersively coupled phase oscillators. Two approaches -- a quasi-continuous 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 semi-compact waves that are compact from one side. Stability of these waves is studied using numerical simulations of the initial value problem.
Cite
@article{arxiv.0806.1833,
title = {Traveling waves and Compactons in Phase Oscillator Lattices},
author = {Karsten Ahnert and Arkardy Pikovsky},
journal= {arXiv preprint arXiv:0806.1833},
year = {2011}
}
Comments
22 pages, 25 figures