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在某些限定条件下的敏感性问题 被引量:2

THE SENSITIVITY QUESTION UNDER SOME RESTRAINED CONDITIONS
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摘要 探讨了拓扑动力系统在对轨道时间集和历经集附加某些限定条件下的敏感性问题,给出了有关此类敏感性的几个基本性质. An important topic of dynamical complexity is the sensitivity.Under some conditions which include especial restrictions on orbit's time set and visiting set,the sensitivity of topological dynamical system is investigated,and several properties concerning this sensitivity are obtained.
作者 曾眺英 吕杰
出处 《华南师范大学学报(自然科学版)》 CAS 北大核心 2011年第2期38-42,共5页 Journal of South China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10771079) 广州市教育局市属高校科技计划项目(08C016)
关键词 F-n-初值敏感 F初值敏感集 F传递点 F-n-sensitivity F sensitivity set F transitive point
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参考文献5

  • 1GUCKENHEIMER J. Sensitive dependence on initial conditions for one - dimensional maps [ J ]. Comm Math Phys, 1979,70 : 133 - 160.
  • 2XIONG Jincheng.Chaos in a topologically transitive system[J].Science China Mathematics,2005,48(7):929-939. 被引量:21
  • 3AKING E. Recurrence in topoligical dynamical systems, furstenberg families and ellis actions [ M ]. New York: Plnum press, 1997.
  • 4Jin-cheng XIONG,Jie LU,Feng TAN.Furstenberg family and chaos[J].Science China Mathematics,2007,50(9):1325-1333. 被引量:14
  • 5SHAO S. Proximity and distality via Furstenberg families [ J ]. Topology and its Applications, 2006, 153 : 2055 - 2072.

二级参考文献5

共引文献31

同被引文献9

  • 1XIONG Jincheng.Chaos in a topologically transitive system[J].Science China Mathematics,2005,48(7):929-939. 被引量:21
  • 2GUCKENHEIMER J. Sensitive dependence on intial con- ditions for one - dimensional maps [ J ]. Comm Math Phys, 1979,70 : 133 - 160.
  • 3AKING E. Recurrence in topoligical dynamical systems, furstenberg families and ellis actions [ M ]. New York: Pl- num press, 1997.
  • 4AKINE, KOLYADA S. Li - Yorke sensutivity [ J ] Nonlin- eality ,2003 (16) : 1421 - 1433.
  • 5XIONG J C. Chaos in topoioal transitive system[ J ]. Sci- nece in China;Sea- A,2005,48(7) :929 -939.
  • 6FURSTENBERG H. Recurrence in Ergodic Theory and Combinatorial Number Theory [ M ]. Princeton Univemity Press, NJ, 1981MR 82j:28010.
  • 7AKING E. Recurrence in tepolisial dynamical systems , funen fmes and ellis aetlom [ M ]. New York: Pl- hum presa, 1997.
  • 8XIONG J C ,LV J,TAN F. Furstenherg families and eham [J]. Seieneee in China:Ser A 2007,50(9) :1325 - 1333.
  • 9Jin-cheng XIONG,Jie LU,Feng TAN.Furstenberg family and chaos[J].Science China Mathematics,2007,50(9):1325-1333. 被引量:14

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