| 双峰映射和Lorenz映射的复杂性研究 |
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| 引用本文： | 王益. 双峰映射和Lorenz映射的复杂性研究[J]. 苏州大学学报(医学版), 1999, 15(4): 15-21 |
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| 作者姓名： | 王益 |
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| 作者单位： | 苏州大学数学科学学院!苏州，215006 |
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| 摘 要： | 本文以形式语言和自动机理论为工具，研究一般的双峰映射和Ｌｏｒｅｎｚ映射生成的语言的复杂性，证明了语言为正规的充要条件是映射的揉序列均为终结周期．
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| 关 键 词： | 双峰映射 Lorenz映射 揉序列 形式语言 |
THE STUDY OF COMPLEXITY OF BIMODAL MAPS AND LORENZ MAPS |
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| Waug Yi. THE STUDY OF COMPLEXITY OF BIMODAL MAPS AND LORENZ MAPS[J]. Journal of Suzhou University(Natural Science), 1999, 15(4): 15-21 |
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| Authors: | Waug Yi |
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| Abstract: | Using the theory of formal languges and automata, we study the complexity of the lan- guages generated by bimodal maps and Lorenz maps, we prove that the necessary and sufficient condition for the languages being regular is: the kneading sequences of the maps are eventually periodic. |
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| Keywords: | Bimodal map Lorenz map kneading sequence formal language |
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