A mathematical framework for amplitude and phase noise analysis of coupled oscillators

@article{Bonnin2016AMF,
  title={A mathematical framework for amplitude and phase noise analysis of coupled oscillators},
  author={Michele Bonnin and Fernando Corinto and Valentina Lanza},
  journal={The European Physical Journal Special Topics},
  year={2016},
  volume={225},
  pages={171-186}
}
Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for nonlinear oscillators coupled together through noisy interactions. In particular, the coupling is assumed to be modulated by white Gaussian noise. The equations derived for the amplitude deviation and the phase are rigorous, and their validity is not limited… 

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