SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS （Ⅱ）-SMALE HORSESHOES

• 作 者: 高平 郭柏灵
• 机 构: DepartmentofAppliedMathematics,InstituteofAppliedPhysicsandComputationalMathematics
• 出 处: 应用数学和力学：英文版
• 发表日期: 2005年11期
• 关键词: 斯梅尔马蹄 同宿轨 POINCARE映射 混沌理论 NLS系统 homoclinic orbit Poincaré map Smale hors
• 基金项目: 中国科学院资助项目，广东省自然科学基金

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 posse