Bouncing Ball模型的弱混沌性

On the Weak Chaotic of Bouncing Ball Model

用异于传统的方法 ,作出BouncingBall映射不变流形的对称流形 ,从而成功地将稳定流形与不稳定流形的位置进行比较 .应用 [1]关于弱横截与弱混沌的有关概念及定理 ,给出了Bounc ingBall映射产生弱混沌的较为一般的参数区域 ,进一步揭示了BouncingBall映射的动力学行为 .

This paper,we contrast the seat of stable manifold and unstable manifold by structureing the symmetry manifold of invariant mainfold of Bouncing Ball model.with the new concetpts and theorems of weak transverse and weak chaos introduced in paper[1],we study the weak chaotic of Bouncing Ball model.