An analytic criterion for generalized synchronization in unidirectionally coupled systems based on the auxiliary system approach.

@article{Wong2012AnAC,
  title={An analytic criterion for generalized synchronization in unidirectionally coupled systems based on the auxiliary system approach.},
  author={Wing-Keung Wong and Bin Zhen and Jian Xu and Zhijie Wang},
  journal={Chaos},
  year={2012},
  volume={22 3},
  pages={
          033146
        }
}
An analytic criterion is developed to investigate generalized synchronization (GS) in unidirectionally coupled systems based on the auxiliary system approach. The criterion is derived by transforming the existence problem of generalized synchronization into an eigenvalue problem. Numerical simulations show that the analytic criterion is almost as accurate as the response Lyapunov exponents method, and may provide an estimation of the threshold of strong generalized synchronization. A… 
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