摘要
在计算机上构造出环面T的Markov分解,在单位正方形S上生成了Anosov映射(LA)的高次动力性态.依据映射。将S上高次LnA(R)扭结到环面T上,构造出三维空间中LA的分形图.此算法可以在S上、T上生成任意次的LnA(R)轨道。
Markov decomposition was constructed and higher-order dynamic character of Anosov mapping on the unit squre S was given with computer.Then the L: (R) of S was knotted onto the tour T with mapping . So the fractal graph of L;(R) in 3 dimenssions scape was constructed. Any-order orbit of L; (R) on S or T can be got with the algorithm.
出处
《工程图学学报》
CSCD
1999年第2期41-45,共5页
Journal of Engineering Graphics
基金
国家教委博士点基金!97014510
辽宁省自然科学基金!962177