Exponential stability of synchronization in asymmetrically coupled dynamical networks.

@article{Li2008ExponentialSO,
  title={Exponential stability of synchronization in asymmetrically coupled dynamical networks.},
  author={Zhi Li},
  journal={Chaos},
  year={2008},
  volume={18 2},
  pages={023124}
}
Based on the original definition of the synchronization stability, a general framework is presented for investigating the exponential stability of synchronization in asymmetrically coupled networks. By choosing an appropriate Lyapunov function, we prove that the mechanism of the exponential synchronization stability is the asymmetrical coupling matrix with diffusive condition. We deduce the second largest eigenvalue of a symmetric matrix to govern the exponential stability of synchronization in… CONTINUE READING

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