基于帐篷映射和面包师映射形成的Cantor集

摘要

分析Cantor集的结构与几何性质,由帐篷映射和广义面包师映射可形成Cantor集。帐篷映射及广义面包师映射可产生混沌,揭示非线性动态映射、几何分形及混沌之间的关系。%This paper analyzes the structure and geometric properties of the Cantor set, and Cantor set which is composed of tent mapping and baker mapping. And tent map and the generalized baker map can produce chaos, reveals the close relationship between the nonlinear dynamic, geometric fractal and chaos.