Master Stability Functions for Synchronized Coupled Systems

@article{Pecora1998MasterSF,
  title={Master Stability Functions for Synchronized Coupled Systems},
  author={Louis M. Pecora and Thomas L. Carroll},
  journal={Physical Review Letters},
  year={1998},
  volume={80},
  pages={2109-2112}
}
We show that many coupled oscillator array configurations considered in the literature can be put into a simple form so that determining the stability of the synchronous state can be done by a master stability function, which can be tailored to one’s choice of stability requirement. This solves, once and for all, the problem of synchronous stability for any linear coupling of that oscillator. [S0031-9007(98)05387-3] 

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