Saddle Connections of Type-Ⅱ Limit Sets

作     者：Sheng Pingxing (Department of Mathematics,College of Natural Sciences,Shanghai University Shanghai 200436) 

会议名称：《中国数学力学物理学高新技术交叉研究会第9届学术研讨会》

会议日期：2002年

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Research supported by Shanghai Developing Grant of Education Committee 

关 键 词：dynamical systems saddle connections vector field homotopy and homeomorphism asymptotic compound trajectories or cycles structural stability admissibility of configurations 

摘      要：The existence of saddle connections for planar analytic autonomous systems is achieved. Results can be generalized to C differentiable dynamical systems and even to higher dimensional differentiable dynamical *** field homotopy and vector field homeomorphism are defined to introduce the concepts of asymptotic compound trajectories or *** stability of saddle connections and the type-Ⅱ limit sets are discussed.