Open Access
Article
Chaotic dynamical systems on symbolic spaces
*U.V. ChetanaCorresponding authorchetanauv@gmail.comDepartment of MathematicsUniversity CollegeMangalore, Karnataka, 575001, IndiaView full profile → , B.R. ShankarDepartment of Mathematical and Comutational SciencesNational Institute of Technology SurathkalKarnataka, 575025, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2016
- Accepted:
- 09 Jul 2017
- Published Online:
- 06 Dec 2017
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2017.1390192
- Pages:
- 131–146
Abstract
We try to find chaotic dynamical systems by extending some simple continuous functions defined on ℚundefined, to functions defined on Aℤ, where A = {0,1,2, , p — 1}. A combination of the powers of the shift map with addition of a constant in ℚundefined, gives rise to chaotic dynamical systems, conjugate to powers of the shift map. By extending the addition in ℤundefined, to the whole of Aℤ, and combining with powers of the shift map, we get an expansive map with the same topological entropy as that of powers of the shift. We also obtain two more positively expansive maps with positive entropy.
Keywords
Subject Classifications
54H2037B10
References
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