Periodic pulsatile stimulation of a nonlinear oscillator
type: Item
instance of: scholarly article
title: Periodic pulsatile stimulation of a nonlinear oscillator
zbMATH Open document ID: 0599.92001
DOI: 10.1007/BF00276000
author: Jacques Bélair
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: The pulsatile periodic stimulation of an integrate-and-fire oscillator which is an approximation of some biological oscillating systems has been studied. Possible phase-locked patterns between the intrinsic rhythms and two different forcing oscillation perturbations are investigated. Phase transition curves are analyzed by means of functional iterations. It is believed that this study is a step of a global program aimed at disclosing the properties of biological rhythms submitted to periodic stimulations.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 3968398
zbMATH Keywords: bistability
zbMATH Keywords: two-parameter families of discontinuous circle endomorphisms
zbMATH Keywords: entrainment
zbMATH Keywords: pulsatile periodic stimulation
zbMATH Keywords: integrate- and-fire oscillator
zbMATH Keywords: phase-locked patterns
zbMATH Keywords: intrinsic rhythms
zbMATH Keywords: forcing oscillation perturbations
zbMATH Keywords: Phase transition curves
zbMATH Keywords: functional iterations
Wikidata QID: Q45237736
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00276000
OpenAlex ID: W2044165635
description: scientific article; zbMATH DE number 3968398