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胞映射方法的研究和进展

徐伟,  孙春艳,  孙建桥,  贺群

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文章导航 > 力学进展  > 2013 >  43(1): 91-100
徐伟, 孙春艳, 孙建桥, 贺群. 胞映射方法的研究和进展[J]. 力学进展, 2013, 43(1): 91-100. doi: 10.6052/1000-0992-12-022
引用本文: 徐伟, 孙春艳, 孙建桥, 贺群. 胞映射方法的研究和进展[J]. 力学进展, 2013, 43(1): 91-100. doi: 10.6052/1000-0992-12-022
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XU Wei, SUN Chunyan, SUN Jianqiao, HE Qun. DEVELOPMENT AND STUDY ON CELL MAPPING METHODS[J]. Advances in Mechanics, 2013, 43(1): 91-100. doi: 10.6052/1000-0992-12-022
Citation: XU Wei, SUN Chunyan, SUN Jianqiao, HE Qun. DEVELOPMENT AND STUDY ON CELL MAPPING METHODS[J]. Advances in Mechanics, 2013, 43(1): 91-100. doi: 10.6052/1000-0992-12-022
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胞映射方法的研究和进展

doi: 10.6052/1000-0992-12-022
  • 1.

    西北工业大学, 西安710072

  • 2. 美国加州大学Merced 分校, Merced, CA95340, USA

  • 3. 天津大学力学系, 天津300072

  • 4. 西安武警技术学院, 西安710086

基金项目: 国家自然科学基金资助项目(11172233,10932009)
详细信息
    作者简介:

    徐伟, 博士, 西北工业大学教授, 专业方向: 非线性动力学, 专长: 随机动力学.

    通讯作者:

    徐伟

  • 中图分类号: O175.1

DEVELOPMENT AND STUDY ON CELL MAPPING METHODS

  • 1.

    Northwestern Polytechnical University, Xian 710072, China

  • 2. University of California, Merced, CA95340, USA

  • 3. Tianjin University, Tianjin 300072, China

  • 4. Engineering College of Armed Police, Xian 710086, China

Funds: The project was supported by the National Natural Science Foundation of China (11172233, 10932009).
More Information
    Corresponding author: XU Wei

    摘要
  • 摘要: 介绍了胞映射方法的研究和进展. 归纳了目前胞映射方法的几种主要研究方法, 主要包括简单胞映射、广义胞映射、图胞映射、图胞映射的符号分析方法、图胞映射的面向集合方法、邻接胞映射、庞加莱型的简单胞映射、插值胞映射以及胞参照点映射方法, 分析了各类方法的基本特点和特色, 简述了这几种胞映射方法的最新国内外进展, 综述了胞映射方法在控制及相关领域的应用研究及进展, 给出了胞映射方法研究的一些展望, 提出了胞映射方法研究可能率先突破的几个研究方向.

     

    Abstract: This paper presents brie y the research and development of cell mapping methods. Several main cell mapping methods are summarized, including simple cell mapping, generalized cell mapping, digraph cell mapping, symbolic analysis method of digraph cell mapping, set-oriented method of digraph cell mapping, adjoining cell mapping, Poincare-like simple cell mapping, interpolated cell mapping and point mapping under cell reference. For these methods, basic features and characteristics are analyzed, and both domestic and foreign research developments are outlined. Furthermore, the research developments of cell mapping method for control and related fields are presented. Finally, the paper suggests some research prospects and some directions that may first be broken through in the research field of cell mapping method.

     

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  • 收稿日期:  2012-02-28
  • 修回日期:  2012-11-25
  • 刊出日期:  2013-01-24

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