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

Coupled nonlinear oscillators; Non-linear oscillators; Original systems; Oscillating phase; Oscillator model; Phase approximations; Phase dynamics; Proportional feedback; Control and Systems Engineering; Modeling and Simulation; Control and Optimization

Abstract :

[en] 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. © 2012 IEEE.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing ; Univ. Paris Sud 11 - L2S - Supélec, Gif sur Yvette 91192, France

Pasillas-Lepine, William; CNRS - L2S, France

Chaillet, Antoine; L2S - Univ. Paris Sud 11 - Supélec, France

Language :

English

Title :

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

Publication date :

2012

Event name :

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

Event place :

Usa

Event date :

10-12-2012 => 13-12-2012

Journal title :

IEEE Conference on Decision and Control

ISSN :

0743-1546

eISSN :

2576-2370

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Pages :

2316 - 2321

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx5/6416474/6425800/06426756.pdf?arnumber=6426756

Funders :

Elsevier
GE Global Research
MathWorks
Springer
The College of Engineering at the University of Hawaii at Manoa

Available on ORBi :

since 26 May 2023

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Bibliography

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