Open Access
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On Attractor and Pseudo Orbit Tracing of Uniform Limit Dynamical Systems
*Phinao RamwungzanCorresponding authorazanphinao@gmail.comDepartment of MathematicsManipur UniversityCanchipur, Imphal, Manipur, 795003, IndiaView full profile → , Khundrakpam Binod Mangangkhubim@manipuruniv.ac.inDepartment of MathematicsManipur UniversityCanchipur, Imphal, Manipur, 795003, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 22 May 2018
- Accepted:
- 27 Aug 2018
- Published Online:
- 16 May 2019
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1551719
- Pages:
- 83–90
Abstract
Some dynamical properties of the uniform limit dynamical system have been investigated. It has been found that for a sequences undefined of dynamical systems having same attractor undefined and converging uniformly to a dynamical system undefined the dynamical system undefined has the same attractor undefinedIt has been found that a sequence undefined of uniformly rigid dynamical systems converging uniformly to a dynamical system undefined the dynamical system undefined is also uniformly rigid. We have proved that the uniform limit undefined of a uniformly convergent sequence of dynamical systems having pseudo orbit tracing property has pseudo orbit tracing property. The expansiveness and the equicontinuous set ϵ: of the uniform limit dynamical system have been investigated.
Keywords
Subject Classifications
37B2037B5554H20
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