CHEN Fang-yue, CHEN Feng-juan. Model Shift and Strange Attractor on MLbius Strip[J]. Applied Mathematics and Mechanics, 2003, 24(7): 747-754.
Citation: CHEN Fang-yue, CHEN Feng-juan. Model Shift and Strange Attractor on MLbius Strip[J]. Applied Mathematics and Mechanics, 2003, 24(7): 747-754.

Model Shift and Strange Attractor on MLbius Strip

  • Received Date: 2002-01-17
  • Rev Recd Date: 2003-02-23
  • Publish Date: 2003-07-15
  • A new model shift mapping was given in bilateral symbol space.It is topologically conjugate with the traditional shift mapping.Similar to Smale Horseshoe,a model was constructed correspondent to the model shift mapping,i.e.a class of mapping on MLbius strip was given.Its attractors.structure and dynamical behaviour were described.
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  • [1]
    Smale S.Differentiable dynamical systems[J].Bull Amer Math Soc,1967,73:747-817.
    [2]
    李明军,李开泰.一类描述混沌映射的符号动力系统[J].高校应用数学学报,1999,14(2):12-129.
    [3]
    麦结华.用5-进制小数描述Smale马蹄映射[J].科学通报,1993,38(21):1932-1935.
    [4]
    刘曾荣.两维平面映射的奇怪吸引子[M].苏州:苏州大学出版社,1996,1-30.
    [5]
    Devany R.Chaotic Dynamical Systems [M].Second Ed.Addisonwesley,Samenvatting:Benjamin Cummings,1989.
    [6]
    刘曾荣,秦文新,谢惠民,等.一类二维映射的奇怪吸引子的结构和动力学行为[J].中国科学 A,1993,23(7):702-708.
    [7]
    刘曾荣,秦文新,谢惠民.Lauwerier 吸引子的结构和动力学行为[J].科学通报,1992,37(14):1269-1271.
    [8]
    Edger G A.Measure,Topology and Fractal Geometry[M].New York,Berlin,Heidelberg:Springer-Verlag,1990.
    [9]
    郑伟谋,郝柏林.实用符号动力学[M].上海:上海科技教育出版社,1994.
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