Geodesic
Transitive sensitive subsystems for interval maps
Sylvie Ruette 1
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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Sylvie Ruette. Transitive sensitive subsystems for interval maps. Studia Mathematica, Tome 169 (2005) no. 1, pp. 81-104. doi: 10.4064/sm169-1-6

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