Synchronization Stability of Coupled Near-Identical Oscillator Network
Chaotic Dynamics
2015-05-13 v1
Abstract
We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we define master stability equations and associated master stability functions, which are independent of the network structure. In particular, we present several examples of coupled near-identical Lorenz systems configured in small networks (a ring graph and sequence networks) with a fixed parameter mismatch and a large Barabasi-Albert scale-free network with random parameter mismatch. We find that several different network architectures permit similar results despite various mismatch patterns.
Cite
@article{arxiv.0810.2775,
title = {Synchronization Stability of Coupled Near-Identical Oscillator Network},
author = {Jie Sun and Erik M. Bollt and Takashi Nishikawa},
journal= {arXiv preprint arXiv:0810.2775},
year = {2015}
}
Comments
15 pages, 6 figures