Synchronization in asymmetrically coupled networks with node balance.

@article{Belykh2006SynchronizationIA,
  title={Synchronization in asymmetrically coupled networks with node balance.},
  author={Igor Belykh and Vladimir N. Belykh and M. Hasler},
  journal={Chaos},
  year={2006},
  volume={16 1},
  pages={015102}
}
We study global stability of synchronization in asymmetrically connected networks of limit-cycle or chaotic oscillators. We extend the connection graph stability method to directed graphs with node balance, the property that all nodes in the network have equal input and output weight sums. We obtain the same upper bound for synchronization in asymmetrically connected networks as in the network with a symmetrized matrix, provided that the condition of node balance is satisfied. In terms of… CONTINUE READING

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