Master stability functions for coupled nearly identical dynamical systems

  title={Master stability functions for coupled nearly identical dynamical systems},
  author={Ji-Guang Sun and Erik M. Bollt and Takashi Nishikawa},
We derive a master stability function (MSF) for synchronization in networks of coupled dynamical systems with small but arbitrary parametric variations. Analogous to the MSF for identical systems, our generalized MSF simultaneously solves the linear-stability problem for near-synchronous states (NSS) for all possible connectivity structures. We also derive a general sufficient condition for stable near-synchronization and show that the synchronization error scales linearly with the magnitude of… CONTINUE READING
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