一类平面D_3等变映射的混沌吸引子对称增加分歧的数值确定  

Numerical Determination of Symmetry-increasingBifurcation of Chaotic Attractors in a Class ofPlanar D_3-Equivariant Mapping

作　　者：杨忠华[1] 朱颖[1] 

机构地区：[1]上海师范大学数学科学学院,200234

出　　处：《应用数学与计算数学学报》2001年第2期1-8,共8页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金(19971057);上海市科委科技发展基金;上海市高等学校科技发展基金资助.

摘　　要：本文讨论了一类平面D3等变映射的分歧和混沌性质.通过计算显示出映射随着参数的变化,从周期解走向混沌以及混饨吸引子由Z2-对称走向D3-对称的全过程.给出计算混沌吸引子的对称增加分歧扩张系统的算法,数值结果表明,两者相符.In the paper the bifurcations and chaos in a class of planar D3-equivariant mapping are studied. The figures by computations show the whole procedure from periodic points to chaos and from Z2 symmetry chaotic attractors to D3 symmetry chaotic attractors of the mapping with variance of the parameter. The extended system for symmetry-increasing bifurcations of chaotic attractors is given. The numerical results are coincided with the above procedure.

关 键 词：平面D3等变映射 混沌吸引子 对称增加 分歧扩张系统 多项式映射 非线性映照 不动点 

分 类 号：O415.5[理学—理论物理]