Sync: Persistence in Two Diffusively Coupled Oscillators
Dynamical Systems
2015-03-09 v2
Abstract
We address the problem of stability of synchronization in two diffu- sively coupled oscillators under small perturations. We have two cases, namely, when the perturation becomes of a linear operator and the case of non-linear operator. We use the Lyapunov second method to guar- antee the global analysis for the first case. For the second, we use the Hartman-Grobman theorem, providing local analysis.
Cite
@article{arxiv.1412.4281,
title = {Sync: Persistence in Two Diffusively Coupled Oscillators},
author = {Marcos D. N. Maia and Tiago Pereira},
journal= {arXiv preprint arXiv:1412.4281},
year = {2015}
}
Comments
This paper has been withdrawn by the author because this paper is incomplete and contains several crucial errors