SIMPLE-MODEL FOR PHASE LOCKING OF BIOLOGICAL OSCILLATORS

被引：130

作者：

GLASS, L

MACKEY, MC

机构：

[1] Department of Physiology, McGill University, Montreal, H3G 1Y6, Quebec

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 04期

关键词：

D O I：

10.1007/BF00275153

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A mathematical model is presented for phase locking of a biological oscillator to a sinusoidal stimulus. Analytical, numerical and topological considerations are used to discuss the patterns of phase locking as a function of the amplitude of the sinusoidal stimulus and the relative frequencies of the oscillator and the sinusoidal stimulus. The sorts of experimental data which are needed to make comparisons between theory and experiment are discussed. © 1979 Springer-Verlag.

引用

页码：339 / 352

页数：14

共 29 条

[1]

Arnold V.I, 1965, T AM MATH SOC SER, V46, P213

[2]

Arnold VI., 1973, ORDINARY DIFFERENTIA

[3] SOME FIXED POINT THEOREMS [J].