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

Denis Efimov (1, 2, 3)

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

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.

Mots clés: Oscillation control; network of oscillators; phase response curve

Domaines: Automatique; Automatique / Robotique

Denis Efimov. Phase resetting for a network of oscillators via phase response curve approach. Biological Cybernetics (Modeling), 2015, 109 (1), pp.95-108. ⟨10.1007/s00422-014-0629-z⟩. ⟨hal-01061988⟩