Phase resetting for a network of oscillators via phase response curve approach

Efimov, Denis

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1007/s00422-014-0629-z

Title :

Phase resetting for a network of oscillators via phase response curve approach

Author(s) :

Efimov, Denis [Auteur]

Department of Control Systems and Informatics [CSI]
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]

Journal title :

Biological Cybernetics (Modeling)

Pages :

95-108

Publisher :

Springer Verlag

Publication date :

2015-02-01

ISSN :

0340-1200

English keyword(s) :

Oscillation control
network of oscillators
phase response curve

HAL domain(s) :

Informatique [cs]/Automatique
Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

The problem of phase regulation for a population of oscillating systems is considered. The proposed control strategy is based on a Phase Response Curve (PRC) model of an oscillator (the first order reduced model obtained ...
Show more >The problem of phase regulation for a population of oscillating systems is considered. The proposed control strategy is based on a Phase Response Curve (PRC) model of an oscillator (the first order reduced model obtained for linearized system and inputs with infinitesimal amplitude). It is proven that the control provides phase resetting for the original nonlinear system. Next the problem of phase resetting for a network of oscillators is considered when applying a common control input. Performance of the obtained solutions is demonstrated via computer simulation for three different models of circadian/neural oscillators.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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PRC_control_2.pdf
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