Helleman映象的紊动性
Chaotic Behavior in the Helleman Mapping
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摘要: 本文建立了Helleman映象呈现Smale马蹄的分析条件,作为推论,导得Henon映象产生紊动现象的条件.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.
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[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.
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