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一类倍周期映射的语言动力学性质 被引量:2

THE LINGUISTIC DYNAMIC PROPERTY OF A TYPE OF BIFURCATE MAPPING
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摘要 语言动力系统(LDS)是以词,而不是以数为计算单位的动力学系统。本文对一类倍周期映射的语言动力学性质进行分析。倍周期映射是动力系统中一类十分重要的映射,大多数的混沌现象是从倍周期分支开始的。本文将一类具有倍周期分支的常规动力系统语言化,并对其稳定性、倍周期分支现象进行分析。 Linguistic Dynamic Systems (LDS) is based on computing with words instead of computing with number. Prof. Wang Feiyue has done much work on this project. Bifurcate mapping is a very important mapping in dynamic systems because of many chaos phenomena's starting from bifurcation. In this paper, we convert a type of conventional bifurcate mappings into their linguistic form and analyze their stability and the phenomenon of bifurcation along (he direction based on the theory of linguistic dynamic systems presented by Wang.
出处 《模式识别与人工智能》 EI CSCD 北大核心 2003年第3期263-270,共8页 Pattern Recognition and Artificial Intelligence
基金 国家杰出青年基金(No.60125310)
关键词 语言动力学性质 倍周期映射 数学模型 动力学系统 复杂大系统 Linguistic Dynamic Systems, Endograph, Words, Stability, Extension Principle
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参考文献16

  • 1陈士华 陆君安.混沌动力学初步[M].武汉:武汉水利电力大学出版社,1999.95-96.
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  • 3王飞跃.词计算和语言动力学系统的计算理论框架[J].模式识别与人工智能,2001,14(4):377-384. 被引量:28
  • 4王飞跃.On Fixed Points of Linguistic Dynamic Systems[J].系统仿真学报,2002,14(11):1479-1485. 被引量:5
  • 5Zeng Fanping, Mo Hong, Guo Wenjing. ω-Limit Set of a Tree Map. Northeast Mathematical Journal, 2001, 17(3) : 333 - 339.
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二级参考文献25

  • 1Wang F Y,International Journal of Inteligent Control and Systems,1998年,2卷,2期,211页
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共引文献30

同被引文献8

  • 1Zeng Fan-ping, Mo Hong, Guo Wen-jing. Limit Set of A Tree Map [J]. Northeast Math J,2001,17(3):333-339.
  • 2Mo Hong. An arc as the inverse limit of a single bonding map of type N on [0,1] [D]. Narming:College of Mathematic and Information, Guangxi Univ. ,2001.
  • 3Zadeh L A. Fuzzy Sets [J].Information and Control,1965,12:38-353.
  • 4Hsu C S. A generalized theory of cell-to-ceU mapping for nonlinear dynamical systems [J].ASME J Applied Mechanics,1981,48:634-642.
  • 5Wang Fei-yue. Outline of a computational theory for linguistic dynamic systems: Toward computing with words[J].International Journal of Intelligent Control and Systems,1998,2(2):211-224.
  • 6陈士华 陆君安.混沌动力学初步[M].武汉:武汉水利电力大学出版社,1999..
  • 7王飞跃.词计算和语言动力学系统的计算理论框架[J].模式识别与人工智能,2001,14(4):377-384. 被引量:28
  • 8王飞跃.On Fixed Points of Linguistic Dynamic Systems[J].系统仿真学报,2002,14(11):1479-1485. 被引量:5

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二级引证文献35

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