D_4平面排列映射的混沌吸引子与广义充满J集  

Chaotic Attractor and General Filled-in J Set from Plane Tiling Mapping with D_4 Symmetry

作　　者：杜利明[1] 陈宁[1] 

机构地区：[1]沈阳建筑工程学院计算机系,辽宁沈阳110015

出　　处：《沈阳建筑工程学院学报（自然科学版）》2003年第1期57-60,共4页Journal of Shenyang Architectural and Civil Engineering University(Nature Science)

基　　金：国家自然科学基金 (6 99730 33) ;辽宁省教育厅基金 (2 0 2 0 2 2 5 9) ;沈阳市科技局基金 (2 0 0 14 13- 0 1)

摘　　要：对内部具有D4对称的平面排列映射进行了探讨 ,构造了多参数非解析映射平面广义M集 ,结果表明在非解析映射广义M集的周期区域中存在与解析映射的广义M集相似的一些特性 .利用笔者所构造的广义M集能够大量生成新颖的混沌吸引子与广义充满J集 .Some researches about the plane tiling mapping with D 4 symmetry are conducted by the construction of the plane general M sets in the multi parameter space. The study shows that there are some similar characters between the periodic fields of the general M sets from this un analytic mapping and those from other analytic mapping. Lots of the beautiful chaotic attractors and general filled in J sets can be generated by choosing the parameters from this kind of M sets.

关 键 词：平面排列映射 混沌吸引子 广义充满J集 D4对称 混沌动力学 广义M集 

分 类 号：O415.5[理学—理论物理]