期刊文献+

动力系统的敏感性

Sensitivity of Dynamical System
在线阅读 下载PDF
导出
摘要 通过应用族及构造方法给出新的强敏感性定义——thickly syndetic敏感,证明了极小弱混合系统或非极小M-系统thickly syndetic敏感,并构造实例证明了syndetic敏感不蕴涵thick敏感和thickly syndetic敏感. Using methods of family and construction,we gave a new definition of stronger sensitivity-thickly syndetic sensitivity,proved that a minimal weakly mixing system or nonminimal M-system is thickly syndetically sensitive.Also,we constructed a system which is syndetically sensitive but not thickly sensitive and thickly syndetically sensitive.
作者 刘恒 廖丽
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2014年第2期263-265,共3页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11001038) 国家高技术研究发展计划863项目基金(批准号:2012AA01A309) 中央高校自主科研项目(批准号:DC120101112)
关键词 thick敏感性 syndetic敏感性 thickly syndetic敏感性 thick sensitivity syndetic sensitivity thickly syndetic sensitivity
  • 相关文献

参考文献3

二级参考文献15

  • 1XIONG Jincheng.Chaos in a topologically transitive system[J].Science China Mathematics,2005,48(7):929-939. 被引量:21
  • 2SHAO Song,YE XiangDong,ZHANG RuiFeng.Sensitivity and regionally proximal relation in minimal systems[J].Science China Mathematics,2008,51(6):987-994. 被引量:5
  • 3Devaney R. An Introduction to Chaotic' Dynamical Systems [ M]. Redwood City: Addison-Wesley, 1989.
  • 4Schweitzer B, Smital J. Measures of Chaos and Spectral Decomposition of Dynamical Systems of the Interval [ J]. Tran Amer Math Soc, 1994, 344(2) : 737-754.
  • 5Adler R L, Konheim A G, MeAndrew M H. Topological Entropy [J]. Trans Amer Math Soc, 1965, 114: 309-319.
  • 6Banks J, Brooks J, Cairns G, et al. On the Definition of Chaos [J]. Amer Math Monthly, 1992, 99: 332-334.
  • 7Silverman S. On Maps with Dense Orbits and the Definition of Chaos [ J]. Rocky Mountain J Math, 1992, 22( 1 ): 353 -375.
  • 8Forti G L, Paganoni L, Smital J. Dynamics uf Homeomorphisms on Minimal Sets Generated by Triangular Mappings [J]. Bull Austral Math Soc, 1999, 59: 1-20.
  • 9Pikula R. On Some Notions of Chaos in Dimension Zero [J]. Collog Math, 2007, 107: 167-177.
  • 10Smital J, Stefankova M. Distributional Chaos for Triangular Maps [J]. Chaos Sohtons Fractals, 2004, 21(5): 1125-1128.

共引文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部