| 关于初值敏感依赖性在拓扑共轭下保持的证明 |
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| 引用本文： | 刘俊鹏.关于初值敏感依赖性在拓扑共轭下保持的证明[J].洛阳师范学院学报,2012(11):9-11. |
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| 作者姓名： | 刘俊鹏 |
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| 作者单位： | 吉林师范大学数学学院 |
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| 摘 要： | 在拓扑动力系统中,通过对函数初值的敏感依赖性的性质的研究,利用所学的拓扑学和动力系统知识,猜想并证明其可否在拓扑共轭下加以传递,发现需要定义域的紧致性,并给出了证明过程.
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| 关 键 词： | 拓扑动力系统 对初值的敏感依赖性 紧致 同胚 |
Proving Sensitive Dependency on Initial Values Remains under Topological Conjugation |
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| LIU Jun-peng.Proving Sensitive Dependency on Initial Values Remains under Topological Conjugation[J].Journal of Luoyang Teachers College,2012(11):9-11. |
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| Authors: | LIU Jun-peng |
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| Institution: | LIU Jun-peng(Mathematics School,Jilin Normal University,Siping 136000,China) |
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| Abstract: | In topological dynamic system,studying the sensitive dependency on initial values of functions,applying both topology and theory of dynamic system,this paper conjectures and demonstrates whether it can be transmitted under topological conjugation,and finds out that the compactness of the definition domain is required.The demonstration procedure is also provided. |
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| Keywords: | topological dynamic system sensitive dependency on initial values compactness homeomorphism |
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