Traveling waves and Compactons in Phase Oscillator Lattices

Karsten Ahnert; Arkardy Pikovsky

doi:10.1063/1.2955758

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arXiv · 0806.1833

Traveling waves and Compactons in Phase Oscillator Lattices

Karsten Ahnert·Arkardy Pikovsky

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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.

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Karsten Ahnert, Arkardy Pikovsky. 2008-06-11. Traveling waves and Compactons in Phase Oscillator Lattices. https://doi.org/10.1063/1.2955758

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