摘要
介绍了 Conley不变集理论 [1] 在微分方程定性理论研究中的一些应用成果 .
In this paper,some applications of theory of Conley′s invariant set in the qualitative theory of ordinary differential equations are introdued. The problems considered in this paper include the existence of orbits connecting critical points and the bifurcations of bounded solutions.
关键词
Conley不变集理论
连结轨线
孤立不变集
孤立块
有界解
分支
微分方程定性理论
theory of Conley′s invariant set
orbit connecting critical points
isolated invariant set
isolated piece, bifurcation of bounded solution
