Orbits Heteroclinic to Invariant Manifolds

作     者：Zhu Deming Department of Mathematics East China Normal University Shanghai, 200062 China 

作者机构：Department of Mathematics East China Normal University Shanghai China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1996年第12卷第4期

页      面：372-373,375-378页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China Shanghai Natural Science Foundation 

主　　题：Invariant manifold Exponential dichotomy Heteroclinic orbit Transversality 

摘      要：Using the theory of invariant manifolds, we give local expressions of the stable and unstable manifolds for normally hyperbolic invariant tori, and study the existence of transverse orbits heteroclinic to hyperbolic invariant tori. These extend and improve the corresponding results obtained in [3-5].