Geodesic
Transitive sensitive subsystems for interval maps
Sylvie Ruette1
1 Laboratoire de Mathématiques Topologie et Dynamique, Bâtiment 425 Université Paris-Sud F-91405 Orsay Cedex, France
Studia Mathematica, Tome 169 (2005) no. 1, pp. 81-104

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for continuous interval maps the existence of a non-empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li–Yorke, and we exhibit examples showing that these three notions are distinct.
DOI : 10.4064/sm169-1-6
Keywords: prove continuous interval maps existence non empty closed invariant subset which transitive sensitive initial conditions implied positive topological entropy implies chaos sense yorke exhibit examples showing these three notions distinct

Sylvie Ruette 1

1 Laboratoire de Mathématiques Topologie et Dynamique, Bâtiment 425 Université Paris-Sud F-91405 Orsay Cedex, France 
@article{10_4064_sm169_1_6,
     author = {Sylvie Ruette},
     title = {Transitive sensitive subsystems for interval maps},
     journal = {Studia Mathematica},
     pages = {81--104},
     publisher = {mathdoc},
     volume = {169},
     number = {1},
     year = {2005},
     doi = {10.4064/sm169-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm169-1-6/}
}
TY  - JOUR
AU  - Sylvie Ruette
TI  - Transitive sensitive subsystems for interval maps
JO  - Studia Mathematica
PY  - 2005
SP  - 81
EP  - 104
VL  - 169
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm169-1-6/
DO  - 10.4064/sm169-1-6
LA  - en
ID  - 10_4064_sm169_1_6
ER  - 
%0 Journal Article
%A Sylvie Ruette
%T Transitive sensitive subsystems for interval maps
%J Studia Mathematica
%D 2005
%P 81-104
%V 169
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm169-1-6/
%R 10.4064/sm169-1-6
%G en
%F 10_4064_sm169_1_6
Sylvie Ruette. Transitive sensitive subsystems for interval maps. Studia Mathematica, Tome 169 (2005) no. 1, pp. 81-104. doi: 10.4064/sm169-1-6

Cité par Sources :