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Abstract: A unified approach for analyzing synchronization in coupled systems ofautonomous differential equations is presented in this work. Through a carefulanalysis of the variational equation of the coupled system we establish asufficient condition for synchronization in terms of the geometric propertiesof the local limit cycles and the coupling operator. This result applies to alarge class of differential equation models in physics and biology. Thestability analysis is complemented with a discussion of numerical simulationsof a compartmental model of a neuron.



Autor: Georgi S. Medvedev

Fuente: https://arxiv.org/



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