Synchronization of coupled limit cycles

Details Synchronization of coupled limit cycles Synchronization of coupled limit cycles

2010-05-21

arxiv.org/abs/1005.4074v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Journal of Nonlinear Science, accepted

Scientific paper

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.

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