中文摘要：

根据稳定耗散矩阵的性质及最大稳定耗散图的定义,对7维稳定耗散LV系统进行了拓扑分类.结合耗散图的特点,按大类分析系统稳定耗散的代数条件,选择2类具有树结构的系统进行了分析,得到了分别包含被周期轨充满的2维不变子流形.

英文摘要：

It was studied the topological classification for seven-dimensional stably dissipative LV systems based on the properties of stably dissipative matrix and the definition of maximal stably dissipative graph.Corresponding to the classification obtained,it was presented the algebraic conditions under which an LV system was stably dissipative.Finally,two kinds of systems with tree structure were analyzed,and showed that each of them contained a two-dimensional invariant submanifold full of periodic orbits.