| 方程x=f(t,x(t-1))存在3-周期解并蕴含着浑沌的条件 |
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| 引用本文： | 孙纪方.方程x=f(t,x(t-1))存在3-周期解并蕴含着浑沌的条件[J].北华大学学报(社会科学版),1995(5). |
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| 作者姓名： | 孙纪方 |
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| 作者单位： | 吉林师范学院数学系 |
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| 摘 要： | 本文首先在定理1中给出方程上x=f(t,x(t-1))存在3-周期解的条件,然后证明在定理1的条件下,上述方程的解将出现浑沌行为(即定理2).
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| 关 键 词： | Poincaré映射 同胚映射 浑沌 |
The Conditions for Existence of 3-periodic Solutions and Occurrence of Chaotic Behavior tox(t)=f(t,x(t-1)) |
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| Sun Jifang.The Conditions for Existence of 3-periodic Solutions and Occurrence of Chaotic Behavior tox(t)=f(t,x(t-1))[J].Journal of Beihua University(Social Sciences),1995(5). |
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| Authors: | Sun Jifang |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper we study the equationx(t) = f(t,x(t-1)) (E)This paper first proves fwo theorems for existence of 3-periodic solutions and occurence of chaotic behavior to (E). Last gives three examples. |
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| Keywords: | Poincare mapping Homeomorphic mapping Chaos |
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