MUTUALLY SYNCHRONIZED RELAXATION-OSCILLATORS AS PROTOTYPES OF OSCILLATING SYSTEMS IN BIOLOGY

被引：46

作者：

GRASMAN, J ^{[1
]}

JANSEN, MJW ^{[1
]}

机构：

[1] FREE UNIV BERLIN,DEPT MATH,D-1000 BERLIN 33,FED REP GER

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 02期

关键词：

Asymptotic methods; Frequency entrainment; Van der Pol equation;

D O I：

10.1007/BF00276928

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. © 1979 Springer-Verlag.

引用

页码：171 / 197

页数：27

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