Various inverse shadowing properties of diffeomorphism on the hyperbolic invariant set 在双曲不变集上的各种反跟踪性
Recently, xie jianhua ~ [ 14 ] obtained there is a hyperbolic invariant set when mm = 4.0318 on the basis of the symmetry of the model for = 1 最近,谢建华在1998年利用对称性给出了=1时弹跳球模型存在双曲不变集的条件(_(min)4.0318)。
In this paper, we choose a reasonable basic area and a coordinate transform and give conditions that ensure the invariant set or hyperbolic invariant set exist in the bouncing ball model by using the mosers and zhou jianying's conditions respectively . thus, the existence of horseshoe of the bouncing ball model is solved effectively 本文对碰撞恢复系数为01的弹跳球模型,通过选取合理的基本区域和引入适当的坐标变换,分别利用moser条件和周建莹提出的一组微分条件,给出了弹跳球模型存在双曲不变集和不变集的条件,从而很好地解决了该模型马蹄的存在性问题。