DELAY EFFECTS AND DIFFERENTIAL DELAY EQUATIONS IN CHEMICAL-KINETICS

被引:48
作者
EPSTEIN, IR [1 ]
机构
[1] BRANDEIS UNIV,CTR COMPLEX SYST,WALTHAM,MA 02254
基金
美国国家科学基金会;
关键词
D O I
10.1080/01442359209353268
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The effects of time lags on the kinetic behaviour of chemical systems are considered. Such lags can result from spatial separation of components of a system, from the introduction of a delayed feedback, or as a way of representing the effects of intermediate steps in a series of reactions. The mathematical apparatus for treating systems with delay is introduced. Then, a number of examples, both experimental and theoretical, are discussed. It is seen that time lags can produce major, qualitative changes in the behaviour of a system, and that it is sometimes possible to reduce significantly the number of variables needed to describe a system if one utilizes differential delay rather than ordinary differential equations.
引用
收藏
页码:135 / 160
页数:26
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