Synchronization of coupled limit cycles

Georgi S. Medvedev

doi:10.1007/s00332-010-9088-4

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arXiv · 1005.4074

Synchronization of coupled limit cycles

Georgi S. Medvedev

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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.

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Georgi S. Medvedev. 2010-05-21. Synchronization of coupled limit cycles. https://doi.org/10.1007/s00332-010-9088-4

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