Singularly perturbed phase response curves for relaxation oscillators

[en] We exploit a novel geometric method to construct the global isochrones of relaxation oscillators and the associated phase response curve. This method complements the classical infinitesimal (local) phase response curve approach by constructively predicting the finite phase response curve near the singular limit of infinite timescale separations between the oscillator variables. We illustrate the power of our construction on the FitzHugh-Nagumo model of neuronal spike generation. Because of its global and constructive nature, not requiring extensive numerical simulations, the proposed approach is particularly suited to control design applications.

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Sacré, Pierre ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Robotique intelligente

Franci, Alessio ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Brain-Inspired Computing

Language :

English

Title :

Singularly perturbed phase response curves for relaxation oscillators

Publication date :

2016

Event name :

55th IEEE Conference on Decision and Control (CDC)

Event organizer :

IEEE

Event place :

Las Vegas, United States - Nevada

Event date :

from 12-12-2016 to 14-12-2016

Audience :

International

Main work title :

Proceedings of the 55th IEEE Conference on Decision and Control (CDC)

Publisher :

IEEE

Peer reviewed :

Peer reviewed

Available on ORBi :

since 26 November 2018

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Bibliography

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