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

Denis Efimov 1, 2
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
Liste complète des métadonnées

Cited literature [51 references]  Display  Hide  Download

https://hal.inria.fr/hal-01061988
Contributor : Denis Efimov <>
Submitted on : Monday, September 8, 2014 - 10:19:21 PM
Last modification on : Friday, March 22, 2019 - 1:35:32 AM
Document(s) archivé(s) le : Tuesday, December 9, 2014 - 12:47:41 PM

File

PRC_control_2.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01061988, version 1

Citation

Denis Efimov. Phase resetting for a network of oscillators via phase response curve approach. Biological Cybernetics (Modeling), Springer Verlag, 2015, 109 (1), pp.95-108. ⟨hal-01061988⟩

Share

Metrics

Record views

340

Files downloads

209