SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCAR MAP  

作　　者：高平 郭柏灵 

机构地区：[1]Department of Applied Mathematics, Guangzhou University,Guangzhou 510405, P.R.China [2]Institute of Applied Physics and Computational Mathematics,P.O. Box 8009, Beijing 100088, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第11期1402-1408,共7页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046)andtheNaturalScienceFoundationofGuangdongProvinceofChina(No.04300099)

摘　　要：The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger （NLS） equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretized perturbed NLS system is shown to possess an invariant set A on which the dynamics is topologically conjugate to a shift on four symbols.The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger （NLS） equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretized perturbed NLS system is shown to possess an invariant set A on which the dynamics is topologically conjugate to a shift on four symbols.

关 键 词：homoclinic orbit Poincaré map Smale horseshoes Conley-Moser condition 

分 类 号：O175.2[理学—数学]