Saddle Connections of Type-Ⅱ Limit Sets
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.