Olsen L F, Degn H
Institute Biochemistry, Odense University, Denmark.
Nature. 1977 May 12;267(5607):177-8. doi: 10.1038/267177a0.
Dynamic systems are usually thought to have either monotonic or periodic behaviour. Although the possibility of other types of behaviour has been recognised for many years, the existence of non-monotonic, non-periodic behaviour in dynamic systems has been firmly established only recently. It is termed chaotic behaviour. A review on the rapidly expanding literature on chaos in discrete model systems described by difference equations has been published by May. Rössler, on the other hand, has discussed a few published works on systems of differential equations with chaotic solutions, and he has proposed a three-component chemical model system which he argues has chaotic solutions [figure see text]. The argument is based on a theorem by Li and Yorke. Here we report the finding of chaotic behaviour as an experimental result in an enzyme system (peroxidase). Like Rössler we base our identification of chaos on the theorem by Li and Yorke.
动态系统通常被认为具有单调或周期性行为。尽管多年来人们已经认识到存在其他类型行为的可能性，但动态系统中非单调、非周期性行为的存在直到最近才得到确凿证实。这种行为被称为混沌行为。梅发表了一篇关于差分方程描述的离散模型系统中迅速扩展的混沌文献综述。另一方面，罗斯勒讨论了一些关于具有混沌解的微分方程系统的已发表著作，并且他提出了一个三组分化学模型系统，他认为该系统具有混沌解[见图]。这个论点基于李和约克的一个定理。在这里，我们报告在一个酶系统（过氧化物酶）中发现混沌行为这一实验结果。和罗斯勒一样，我们对混沌的识别也是基于李和约克的定理。
