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提升系统的逐点伪轨跟踪性质 被引量:1

Pseudo-orbit tracing property for lift systems
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摘要 设X是紧度量空间,f:X→X是连续映射,又设~X是X的覆叠空间,~f:~X→~X是f的提升,证明了(~X,~f)有逐点伪轨跟踪性质,当且仅当(X,f)有逐点伪轨跟踪性质. Suppose X is compact metric space ,f:X→X is continuous mapping,and suppose ~X is iterative space,~f:~X→~X is the lift of f. It is proved that the lift system (~x,~f) has the Pseudo - Orbit Tracing property if and only if(x,f) has the Pseudo - Orbit Tracing property .
作者 晏炳刚
出处 《重庆工商大学学报(自然科学版)》 2007年第5期453-454,共2页 Journal of Chongqing Technology and Business University:Natural Science Edition
关键词 逐点伪轨跟踪性质 覆盖映射 提升系统 Pseudo - Orbit Tracing property covering map lift system
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参考文献5

  • 1PILYUGIN S Y. Shadowing in Dynamical[ M]. Lecture Note in Mathematics,1999
  • 2BOWEN R . On Axiom A Difffeomorpism [ M ]. Berlin:Lecture Note in mathematics, 1977
  • 3WALTERS P. On the Pseudo Orbit Tracing Property and Realtions to stability[ M ]. Berlin:Lecture Note in Mathematics, 1977
  • 4LI M J. Pointwise Pseudo- Orbit Tracing Property and its Application[ J ]. Journal of Mathematical Reaserrch and Exposition, 2005,25(1) :216-219
  • 5GURB SUNTX XIAZJ.Asymptotic pseudo orbit tracing property for lift sytems.广西大学学报:自然科学版,2005,29(1):214-217.

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