Abstract: 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.

Key words: chaotic system; regulatory system; chaos classification; šilinikov theorem