Open Access
Original Articles
Dynamically Defined Topological Entropy
H. Molaeihadimolaei@yahoo.comDepartment of Computer EngineeringIslamic Azad UniversityBafq, IranView full profile → , M.R. Molaeimrmolaei@mail.uk.ac.irDepartment of MathematicsShahid Bahonar University of KermanKerman, 76169–14111, IranView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2008.10698549
- Pages:
- 95–100
Abstract
In this paper by using a special kind of dynamics on a metric space, the notion of topological entropy is developed. The independence of ”dynamically defined topological entropy” of the choice of base and semi-dynamics of the space, up to a topological conjugacy is proved. A relation between dynamically defined topological entropy of a map with its iterations is deduced.
Keywords
References
- Bowen, R.E.1971 . Entropy for Group Endomorphisms and Homogeneous Spaces . , 153 : 401 – 414 .
- Dinaburg, E.I.1970 . The Relation Between Topological Entropy and Metric Entropy . , 11 : 13 – 16 .
- Liu, L., Wang, Y. and Wei, G.2007 . Topological Entropy of Continuous Functions on Topological Spaces . , doi: 10.1016/j.chaos.2007.04.008.
- El Naschie, M.S.2006 . Superstring, Entropy and the Elementary Particles Content of the Standard Model . , 29 ( 1 ) : 48 – 59 .
- Malziri, M. and Molaei, M.R.2008 . An Extension of the Notion of Topological Entropy . , 36 ( 2 ) : 370 – 373 .
- Mañé, R.1987 . , Springer-Verlag .
- Molaei, M.R. and Anvari, M.R.. 2006 . A Method for Computation Relative Topological Entropy . , : 189 – 194 .
- Molaei, M.R.2004 . Relative Semi-dynamical Systems . , 12 ( 2 ) : 237 – 243 .
- Pollicott, M. and Yuri, M.1998 . , Cambridge University Press .
- Walters, P.1982 . , Springer-Verlag .
Views: 34Downloads: 82Citations: 1
