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ECOLE SUPÉRIEURE D'ÉLECTRICITÉ Une grande école d'ingénieurs au cœur des sciences de l'information,de l'énergie et des systèmes |
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Conference papers
Validity of the phase approximation for coupled nonlinear oscillators: a case study
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.
Cited literature [21 references]
https://hal-supelec.archives-ouvertes.fr/hal-00727760
Contributor : William Pasillas-Lépine <>
Submitted on : Tuesday, September 4, 2012 - 4:23:58 PM
Last modification on : Wednesday, April 8, 2020 - 3:32:54 PM
Document(s) archivé(s) le : Friday, December 7, 2012 - 10:25:07 AM
Contributor : William Pasillas-Lépine <>
Submitted on : Tuesday, September 4, 2012 - 4:23:58 PM
Last modification on : Wednesday, April 8, 2020 - 3:32:54 PM
Document(s) archivé(s) le : Friday, December 7, 2012 - 10:25:07 AM
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