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On topological sequence entropy and chaotic maps on inverse limit spaces
dc.contributor.author | Cánovas Peña, José Salvador | |
dc.date.accessioned | 2009-06-11T11:12:54Z | |
dc.date.available | 2009-06-11T11:12:54Z | |
dc.date.issued | 1999 | |
dc.identifier.citation | CANOVAS, J.S. On topological sequence entropy and chaotic maps on inverse limit spaces. Acta Mathematica Universitatis Comenianae, LXVIII (2): 205-211, 1999. ISSN 0862-9544 | es |
dc.identifier.issn | 0862-9544 | |
dc.description.abstract | The aim of this paper is to prove the following results: a continuous map f : [0; 1] ! [0; 1] is chaotic if the shift map of : lim ([0; 1]; f) ! lim ([0; 1]; f) is chaotic. However, this result fails, in general, for arbitrary compact metric spaces. f : lim ([0; 1]; f) ! lim ([0; 1]; f) is chaotic i there exists an increasing sequence of positive integers A such that the topological sequence entropy hA( f ) > 0. Finally, for any A there exists a chaotic continuous map fA : [0; 1] ! [0; 1] such that hA( fA) = 0: | es |
dc.description.sponsorship | This paper has been partially supported by the grant PB/2/FS/97 (Fundación Séneca, Comunidad Autónoma de Murcia). I wish to thank the referee for the proof of Proposition 2.1 and the comments that helped me to improve the paper. | es |
dc.format | application/pdf | |
dc.language.iso | spa | |
dc.publisher | Institute of Applied Mathematics Faculty of Mathematics, Physics and Informatics Comenius University | es |
dc.rights | http://www.emis.de/journals/AMUC/_vol-68/_no_2/_canovas/canovas.html | es |
dc.title | On topological sequence entropy and chaotic maps on inverse limit spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dc.subject.other | Matemática Aplicada | es |
dc.subject | Secuencia de Entropía topológica | es |
dc.subject | Mapa caótico | es |
dc.subject | Entropía topológica | es |
dc.subject | Caos | es |
dc.subject | Topological sequence entropy | es |
dc.subject | Chaotic maps | es |
dc.subject | Chaos | es |
dc.subject | Topological Entropy | es |
dc.identifier.uri | http://hdl.handle.net/10317/1026 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess |
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