Chaotic dynamical systems on symbolic spaces

Autor:	U.V. Chetana, B.R. Shankar
Rok vydání:	2017
Předmět:	010101 applied mathematics Chaotic dynamical systems Positive entropy Pure mathematics Transitive relation 010102 general mathematics Chaotic General Medicine Topological entropy 0101 mathematics 01 natural sciences Expansive Mathematics
Zdroj:	Journal of Dynamical Systems and Geometric Theories. 15:131-146
ISSN:	2169-0057 1726-037X
DOI:	10.1080/1726037x.2017.1390192
Popis:	We try to find chaotic dynamical systems by extending some simple continuous functions defined on ℚp, 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 ℚp, gives rise to chaotic dynamical systems, conjugate to powers of the shift map. By extending the addition in ℤp, 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::594d7c353fcd7c5b843ea6a7f208eec6 https://doi.org/10.1080/1726037x.2017.1390192 Zobrazit plný text záznamu