Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1979 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Biology, volume 7, pages 171-197 (issn: 0303-6812, eissn: 1432-1416,

Copyright policy )

Authors: Grasman, J.; Jansen, M. J. W.;

doi: 10.1007/bf00276928

Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology

- Summary
- Subjects
- Metrics

Abstract

This paper discusses the analogy between phenomena in populations of coupled biological oscillators and the behaviour of systems of synchronized mathematical oscillators. Frequency entrainment in a set of coupled relaxation oscillators is investigated with perturbation methods. This analysis leads to quantitative results for entrainment and explains phenomena such as travelling waves in systems of spatially distributed oscillators.

Related Organizations

University of Amsterdam
Netherlands

Keywords

Van Der Pol Equation, Perturbation Methods, Coupled Biological Oscillators, Frequency Entrainment, Asymptotic Methods, General biology and biomathematics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	47
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%