基于调控网络的观点,提出一种新的关于三维二次自治型混沌系统的分类准则.首先,把混沌系统看成生物学上的调控网络,网络中的每个节点唯一地对应于混沌系统的一个变量,通过研究调控网络的运行机制,以理解混沌产生的机制.然后,根据调控网络与三维自治多项式型混沌系统之间的关系,讨论三维二次自治型混沌系统的分类.
This paper discusses the classification rules of chaos in 3-dimensional quadratic autonomous systems. The author develops a new effective classification and provides a basic classification framework. Based on regulatory network, the research first views a chaotic system as a regulatory network in which every node corresponds uniquely to a variable in the chaotic system. Then, it studies the relationship between regulatoy networks of 3 nodes and 3-dimensional autonomous chaotic system of polynomial type. Finally, the paper classifies 3-dimensional autonomous chaotic systems of polynomial type from the viewpiont of regulatory network.