Computing explicitly topological sequence entropy: the unimodal case
Knowledge Area
Matemática AplicadaSponsors
This paper has been partially supported by the DGICYT grant P95-1004, the DGISEC grant PB98-0374-C03-01 and the Fundación Séneca (Comunidad Autónoma de Murcia) grant PB/2/FS/97.Publication date
2002Publisher
Institut FourierBibliographic Citation
JIMÉNEZ LÓPEZ, Victor, CÁNOVAS PEÑA, José Salvador. Computing explicitly topological sequence entropy: the unimodal case. Annales de L’Institut Fourier, 52 (4): 1093-1133, 2002. ISSN (électronico) : 1777-5310Keywords
Secuencia de Entropía topológicaMapa unimodal
Mapa de tipo 2 elevado a infinito
Map type 2 raised to infinity
Topological sequence entropy
Unimodal map
Abstract
There are many tools todeal with the idea of "complex dynamical behaviour" for the family C(I) of continuous maps on a conpact interval I. Among them topological entropy enjoys a steady popularity, one of the reasons being that it can be used as an indicator of the "size" of this dynamical complexity which, contrary o measure-theoretic approaches, is preserved under topological conjugacy.
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