| SMALE HORSESHOES AND CHAOS IN DISCRETIZEDPERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP |
| |
| 引用本文： | 高平 郭柏灵. SMALE HORSESHOES AND CHAOS IN DISCRETIZEDPERTURBED NLS SYSTEMS(Ⅰ)—POINCARÉ MAP[J]. 应用数学和力学(英文版), 2005, 26(11): 1391-1401. DOI: 10.1007/BF03246244 |
| |
| 作者姓名： | 高平 郭柏灵 |
| |
| 作者单位： | [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 |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10471046） and the Natural Science Foundation of Guangdong Province of China （ 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 invadant set A on which the dynamics is topologically conjugate to a shift on four symbols.
|
| 关 键 词： | 同宿轨 Poincare映射 混沌理论 离散扰动 NLS系统 |
| 文章编号： | 0253-4827（2005）11-1391-11 |
| 收稿时间： | 2004-08-08 |
| 修稿时间： | 2005-08-23 |
Smale horseshoes and chaos in discretized perturbed NLS systems(I)—Poincaré map |
| |
| Ping Gao,Bo-ling Guo. Smale horseshoes and chaos in discretized perturbed NLS systems(I)—Poincaré map[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(11): 1391-1401. DOI: 10.1007/BF03246244 |
| |
| Authors: | Ping Gao Bo-ling Guo |
| |
| Affiliation: | Department of Applied Mathematics, Guangzhou University, Guangzhou 510405, P.R.China;;Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R.China |
| |
| Abstract: | 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 ∧ on which the dynamics is topologically conjugate to a shift on four symbols. |
| |
| Keywords: | homoclinic orbit Poincar6 map Smale horseshoes Conley-Moser condition |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
