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SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS (Ⅰ)-POINCARE MAP

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS (Ⅰ)-POINCARE MAP
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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. 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.
作者 高平 郭柏灵
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第11期1391-1401,共11页 应用数学和力学(英文版)
基金 中国科学院资助项目,广东省自然科学基金
关键词 homoclinic orbit Poincar6 map Smale horseshoes Conley-Moser condition homoclinic orbit Poincar6 map Smale horseshoes Conley-Moser condition
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