Traveling waves and compactons in phase oscillator lattices

Karsten Ahnert; Arkady Pikovsky

doi:10.1063/1.2955758

Traveling waves and compactons in phase oscillator lattices

Chaos. 2008 Sep;18(3):037118. doi: 10.1063/1.2955758.

Authors

Karsten Ahnert¹, Arkady Pikovsky

Affiliation

¹ Department of Physics, Potsdam University, Potsdam 14476, Germany.

PMID: 19045492
DOI: 10.1063/1.2955758

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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Biological Clocks / physiology*
Computer Simulation
Feedback
Metabolic Networks and Pathways / physiology*
Models, Theoretical*
Nerve Net / physiology*
Nonlinear Dynamics*
Oscillometry / methods*