【摘要】 本文研究了弹跳球映射和Taylor映射间的关系,指出α=1的弹跳球映射与n=1的Taylor映射在本质上是一致的,然后利用此性质推出:α=I,r>2.5π的弹跳球映射有浑沌现象,而n=1,A≥4.27π的Taylor映射其浑沌集具有双曲结构。更多还原

【Abstract】 In this paper, We discuss relation between bouncing ball mapping and Taylor mapping, and prove that bouncing ball mapping for α= 1 is the same as Taylor mapping for n = 1 in the nature. Then using this result, we obtain conclutions as follow: (i) when r>2.5n , bouncing ball mapping for α= 1 has chaos behavior, (ii) when A≥4.27π , Taylor mapping for n = 1 exists chaos set with hyperbolic structure.更多还原