Nonlinearly coupled harmonic oscillators: high frequency oscillations yield synchronization
Dynamical Systems
2009-08-04 v1
Abstract
Synchronization of coupled harmonic oscillators is investigated. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the first and third quadrants) of some projection of the relative distance (between the states of the pair being coupled) vector. Under the assumption that the interconnection topology defines a connected graph, it is shown that the synchronization manifold is semiglobally practically asymptotically stable in the frequency of oscillations.
Cite
@article{arxiv.0908.0207,
title = {Nonlinearly coupled harmonic oscillators: high frequency oscillations yield synchronization},
author = {S. Emre Tuna},
journal= {arXiv preprint arXiv:0908.0207},
year = {2009}
}
Comments
11 pages, 2 figures