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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (2): 201-209.

• 论文 • 上一篇    下一篇

THE GLOBAL BIFURCATION STRUCTURE OF A KIND OF DIGIT MAPPING

卢钦和1, 许政范2, 林福琴2, 刘曾荣1   

  1. 1. Suzhou University, Jiangsu;
    2. Shanghai Maritime University, Shanghai
  • 收稿日期:1990-03-23 出版日期:1991-02-18 发布日期:1991-02-18

THE GLOBAL BIFURCATION STRUCTURE OF A KIND OF DIGIT MAPPING

Lu Qin-he1, Xu Zheng-fan2, Lin Fu-qin2, Liu Zeng-rong1   

  1. 1. Suzhou University, Jiangsu;
    2. Shanghai Maritime University, Shanghai
  • Received:1990-03-23 Online:1991-02-18 Published:1991-02-18

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摘要： The global structure of the mapping Tn:x→[x2]n is studied. The symmetric unconnected substructures of T2 is coincident with [1] by computer, but for n=3 the symmetry of these substructures vanishes. As n is increasing, the global bifurcation structure of T2 is shown. Finally, similar results for the mapping Tn:x→[μx2]n are also proved.

关键词: digit mapping, bifurcation, global construction

Abstract: The global structure of the mapping Tn:x→[x2]n is studied. The symmetric unconnected substructures of T2 is coincident with [1] by computer, but for n=3 the symmetry of these substructures vanishes. As n is increasing, the global bifurcation structure of T2 is shown. Finally, similar results for the mapping Tn:x→[μx2]n are also proved.

Key words: digit mapping, bifurcation, global construction

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