A Note on Specification Property of Dynamical Systems
Mathematics Letters
Volume 4, Issue 2, June 2018, Pages: 34-38
Received: Apr. 20, 2018; Accepted: May 22, 2018; Published: Jun. 28, 2018
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Authors
Nan Li, School of Mathematical Science, Dalian University of Technology, Dalian, China
Lidong Wang, School of Mathematical Science, Dalian University of Technology, Dalian, China; School of Science, Dalian Nationalities University, Dalian, China; The College of Public Foundation and Innovation and Entrepreneurship, Zhuhai College of Jilin University, Zhuhai, China
Fengchun Lei, School of Mathematical Science, Dalian University of Technology, Dalian, China
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Abstract
The paper is discussed the sensitive and transitive property of a dynamical system with strong specification property. It is proved that if a dynamical system is sensitive, then it is syndetically sensitive with the same constant of sensitivity. Further, it is given another condition such that if a dynamical system is sensitive, then it is syndetically sensitive with the same constant of sensitivity. Meanwhile, it is stated that if a dynamical system has shadowing property, then it is totally syndetically transitive.
Keywords
Sensitive, Specification Property, Syndetically Transitive
To cite this article
Nan Li, Lidong Wang, Fengchun Lei, A Note on Specification Property of Dynamical Systems, Mathematics Letters. Vol. 4, No. 2, 2018, pp. 34-38. doi: 10.11648/j.ml.20180402.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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