| 推广敏感性问题研究 |
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| 引用本文： | 刘恒,海伦,车佳奇.推广敏感性问题研究[J].大连民族学院学报,2010,12(3):233-235. |
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| 作者姓名： | 刘恒 海伦 车佳奇 |
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| 作者单位： | 大连民族学院,理学院,辽宁,大连,116605 |
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| 基金项目： | 大连民族学院博士科研启动基金资助项目，大连民族学院创新工作室基金 |
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| 摘 要： | 设X是一个至少包含两个点的紧致度量空间f：X→X为从X到自身的连续映射。引入全最大敏感的概念（简记为TMS）并且证明f是弱混合当且仅当它是TMS。特别地，通过反例证明了2-敏感不蕴涵3-敏感。
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| 关 键 词： | 弱混合 初值敏感依赖 全最大敏感性 |
Research on Generalized Sensitivity |
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| LIU Heng,HAI Lun,CHE Jia-qi.Research on Generalized Sensitivity[J].Journal of Dalian Nationalities University,2010,12(3):233-235. |
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| Authors: | LIU Heng HAI Lun CHE Jia-qi |
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| Institution: | LIU Heng, HAI Lun, CHE Jia -qi (College of Science, Dalian Nationalities University, Dalian Liaoning 116605, China) |
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| Abstract: | Let X be a compact metric space containing at least two points and letf：X→X be continuous. We introduced the notion of totally maximum sensitivity （TMS）and proved that f is weakly mixing iff it is TMS. We particularly proved that 2 - sensitivity does not imply 3 - sensitivity by a counterexample. |
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| Keywords: | weak mixing sensitive dependence on initial conditions totally maximum sensitivity |
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