Validity of the phase approximation for coupled nonlinear oscillators: a case study

Alessio Franci 1 William Pasillas-Lépine 1 Antoine Chaillet 1
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : Motivated by neuroscience applications, we rigorously derive the phase dynamics of an ensemble of interconnected nonlinear oscillators under the effect of a proportional feedback. We individuate the critical parameters determining the validity of the phase approximation and derive bounds on the accuracy of the latter in reproducing the behavior of the original system. We use these results to study the existence of oscillating phase-locked solutions in the original oscillator model.
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Submitted on : Tuesday, September 4, 2012 - 4:23:58 PM
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Alessio Franci, William Pasillas-Lépine, Antoine Chaillet. Validity of the phase approximation for coupled nonlinear oscillators: a case study. IEEE CDC 2012, Dec 2012, Maui, Hawaii, United States. ⟨hal-00727760⟩

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