Symmetry and horseshoe in the model of bouncing ball

作     者：XIE JianhuaDepartment of Applied Mechanics and Engineering, Southwest Jiaotong Univrsity, Chengdu 610031, China 

作者机构：Department of Applied Mechanics and Engineering Southwest Jiaotong University Chengdu China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1999年第44卷第4期

页      面：315-318页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 071101[理学-系统理论] 

主　　题：bouncing ball symmetry horseshoe symbolic dynamics. 

摘      要：By coordinate transformation, the map of bouncing ball has certain symmetry in the new coordinates, This symmetry is used to simplify the conditions which guarantee the existence of the compact, hyperbolic and invariant set and to find the same properties in symbolic dynamics. Based on the analysis, the lower bound of parameter beyond which the map possesses a hyperbolic horseshoe is estimated more precisely.