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.
| Published in | Mathematics Letters (Volume 4, Issue 2) |
| DOI | 10.11648/j.ml.20180402.12 |
| Page(s) | 34-38 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2018. Published by Science Publishing Group |
Sensitive, Specification Property, Syndetically Transitive
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APA Style
Nan Li, Lidong Wang, Fengchun Lei. (2018). A Note on Specification Property of Dynamical Systems. Mathematics Letters, 4(2), 34-38. https://doi.org/10.11648/j.ml.20180402.12
ACS Style
Nan Li; Lidong Wang; Fengchun Lei. A Note on Specification Property of Dynamical Systems. Math. Lett. 2018, 4(2), 34-38. doi: 10.11648/j.ml.20180402.12
AMA Style
Nan Li, Lidong Wang, Fengchun Lei. A Note on Specification Property of Dynamical Systems. Math Lett. 2018;4(2):34-38. doi: 10.11648/j.ml.20180402.12
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Download@article{10.11648/j.ml.20180402.12,
author = {Nan Li and Lidong Wang and Fengchun Lei},
title = {A Note on Specification Property of Dynamical Systems},
journal = {Mathematics Letters},
volume = {4},
number = {2},
pages = {34-38},
doi = {10.11648/j.ml.20180402.12},
url = {https://doi.org/10.11648/j.ml.20180402.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20180402.12},
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.},
year = {2018}
}
TY - JOUR T1 - A Note on Specification Property of Dynamical Systems AU - Nan Li AU - Lidong Wang AU - Fengchun Lei Y1 - 2018/06/28 PY - 2018 N1 - https://doi.org/10.11648/j.ml.20180402.12 DO - 10.11648/j.ml.20180402.12 T2 - Mathematics Letters JF - Mathematics Letters JO - Mathematics Letters SP - 34 EP - 38 PB - Science Publishing Group SN - 2575-5056 UR - https://doi.org/10.11648/j.ml.20180402.12 AB - 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. VL - 4 IS - 2 ER -
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