Chaotic Behavior in the Helleman Mapping

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(7): 617-621

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.

Citation:

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

Abstract

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.

[1]	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.
[3]	Moser,J.,Stable and Random Motions in Dynamical systems,Princeton University Press(1973).
[4]	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.