Synchronization of oscillators coupled through an environment

  title={Synchronization of oscillators coupled through an environment},
  author={Guy Katriel},
We study synchronization of oscillators that are indirectly coupled through their interaction with an environment. We give criteria for the stability or instability of a synchronized oscillation. Using these criteria we investigate synchronization of systems of oscillators which are weakly coupled, in the sense that the influence of the oscillators on the environment is weak. We prove that arbitrarily weak coupling will synchronize the oscillators, provided that this coupling is of the ‘right… CONTINUE READING
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