Transitive sensitive subsystems for interval maps

• Autorzy: Sylvie Ruette
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 1
• Strony: 81-104

Daty

wydano

2005

Twórcy

autor

Sylvie Ruette

• Laboratoire de Mathématiques, Topologie et Dynamique, Bâtiment 425, Université Paris-Sud, F-91405 Orsay Cedex, France

Identyfikatory

DOI

10.4064/sm169-1-6