Synchronization of coupled limit cycles
Adaptation and Self-Organizing Systems
2015-05-19 v2 Dynamical Systems
Biological Physics
Neurons and Cognition
Abstract
A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient condition for synchronization in terms of the geometric properties of the local limit cycles and the coupling operator. This result applies to a large class of differential equation models in physics and biology. The stability analysis is complemented with a discussion of numerical simulations of a compartmental model of a neuron.
Cite
@article{arxiv.1005.4074,
title = {Synchronization of coupled limit cycles},
author = {Georgi S. Medvedev},
journal= {arXiv preprint arXiv:1005.4074},
year = {2015}
}
Comments
Journal of Nonlinear Science, accepted