Transitive sensitive subsystems for interval maps
Studia Mathematica (2005)
- Volume: 169, Issue: 1, page 81-104
- ISSN: 0039-3223
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topSylvie Ruette. "Transitive sensitive subsystems for interval maps." Studia Mathematica 169.1 (2005): 81-104. <http://eudml.org/doc/284494>.
@article{SylvieRuette2005,
abstract = {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.},
author = {Sylvie Ruette},
journal = {Studia Mathematica},
keywords = {interval map; chaos; topological entropy; sensitive dependence},
language = {eng},
number = {1},
pages = {81-104},
title = {Transitive sensitive subsystems for interval maps},
url = {http://eudml.org/doc/284494},
volume = {169},
year = {2005},
}
TY - JOUR
AU - Sylvie Ruette
TI - Transitive sensitive subsystems for interval maps
JO - Studia Mathematica
PY - 2005
VL - 169
IS - 1
SP - 81
EP - 104
AB - 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.
LA - eng
KW - interval map; chaos; topological entropy; sensitive dependence
UR - http://eudml.org/doc/284494
ER -
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