| 几类二维映射的Smale马碲不变集的存在性 |
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| 引用本文： | 李永昆,曹进德.几类二维映射的Smale马碲不变集的存在性[J].云南大学学报(自然科学版),1993(3). |
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| 作者姓名： | 李永昆 曹进德 |
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| 作者单位： | 云南大学数学系
(李永昆)，云南大学函授部(曹进德) |
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| 摘 要： | 本文由三部分组成,第一部分,得到了一类二维映射Smale马碲存在的一个判据;第二部分,研究了形如的Hénon映射的混沌性质:第三部分,讨论了De Vogelaere映射存在横截同宿点的条件。从而,对后两种类型的二维映射,获得了系统存在Smale马碲型混沌的参数区域的某些估计。
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| 关 键 词： | 混沌 Smale马碲 横截同宿点 |
Exicetences of Smale Horse in Variant Sets in Several Types of Two Dimensional Mappings |
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| Li Yongkun.Exicetences of Smale Horse in Variant Sets in Several Types of Two Dimensional Mappings[J].Journal of Yunnan University(Natural Sciences),1993(3). |
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| Authors: | Li Yongkun |
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| Abstract: | This paper consists of three parts. In part one, we obtain a Smale horse exicetence critia for a type of two dimensional mappings, and correct Zheng's individual estimating error. In part two , we discuss the chaotic properties of the following form of
the Henon mapping: .In part three, we study the conditions
that there exist transversal homoclinic points for De Vogelaere mapping. From the last two parts, therefore, we obtain the some estimations of the parameter ereas in which the systems show Smale horse shaped chaotic behavior. |
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| Keywords: | chaos Smale horse Transveral homoclinic point |
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