Cheng Bao-long. Chaotic Behavior in the Helleman Mapping[J]. Applied Mathematics and Mechanics, 1987, 8(7): 617-621.
Citation: Cheng Bao-long. Chaotic Behavior in the Helleman Mapping[J]. Applied Mathematics and Mechanics, 1987, 8(7): 617-621.

Chaotic Behavior in the Helleman Mapping

  • Received Date: 1986-06-08
  • Publish Date: 1987-07-15
  • In this paper, we establish the analytical conditions for the Helleman mapping in which the Smale horseshoe appears. Then we use it to educe the chaotic criterion of Henon maps.
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    Helleman,R.H.C.,In Fundamental Problem in Statistical Mechanics.edited by E.G.D.Cohen,Elsevier,New York,Vol.5(1980).165.
    [2]
    Zisook,A.B.,Phys.Rev,A24(1981),1640.
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    Moser,J.,Stable and Random Motions in Dynamical systems,Princeton University Press(1973).
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    Henon,M.,A two-dimensional mapping with a strange attractor,Comm.Math,Phys,,50 (1976),69-77.
    [5]
    Feit,S.,Characteristic exponents and strange attractors,Comm.Math.Phys.,61(1978),249-260.
    [6]
    张锦炎,关于Henon映象中的Smale马蹄,科学通报,24 (1984),1478-1480.
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