Transitive, sensitive subsystems for interval maps
, 169, No. 1, 81-104, 2005.
We state 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.
[pdf (published paper)]