CHEMICAL WAVES AND THE DIFFUSIVE COUPLING OF LIMIT-CYCLE OSCILLATORS

被引:40
作者
NEU, JC [1 ]
机构
[1] CALTECH,DEPT APPL MATH,PASADENA,CA 91109
关键词
D O I
10.1137/0136038
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A model of an oscillating chemical reaction taking place in a diffusive medium is analyzed. Using singular perturbation techniques, a nonlinear equation is derived that determines how spatial variations in the phase of the oscillations evolve in time. This result is the key to understanding the propagation of chemical waves. In particular, it is used to account for certain experimental observations on the Belusov-Zhabotinskii reaction.
引用
收藏
页码:509 / 515
页数:7
相关论文
共 3 条
  • [1] HALANEY, 1966, DIFFERENTIAL EQUATIO
  • [2] NONLINEAR PHENOMENA IN OSCILLATORY SYSTEMS OF HOMOGENEOUS REACTIONS - EXPERIMENTAL OBSERVATIONS
    MAREK, M
    SVOBODOVA, E
    [J]. BIOPHYSICAL CHEMISTRY, 1975, 3 (03) : 263 - 273
  • [3] WHITHAM, 1974, LINEAR NONLINEAR WAV, P97