Synchronization of Coupled Limit Cycles

  title={Synchronization of Coupled Limit Cycles},
  author={Georgi S. Medvedev},
  journal={J. Nonlinear Science},
A unified approach to the analysis of 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 by a… CONTINUE READING