C¹-Stably Positively Expansive Maps
Bulletin of the Polish Academy of Sciences. Mathematics (2004)
- Volume: 52, Issue: 2, page 197-209
- ISSN: 0239-7269
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topKazuhiro Sakai. "C¹-Stably Positively Expansive Maps." Bulletin of the Polish Academy of Sciences. Mathematics 52.2 (2004): 197-209. <http://eudml.org/doc/280406>.
@article{KazuhiroSakai2004,
abstract = {The notion of C¹-stably positively expansive differentiable maps on closed $C^∞$ manifolds is introduced, and it is proved that a differentiable map f is C¹-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the ε-time dependent stability is shown. As a result, every expanding map is ε-time dependent stable.},
author = {Kazuhiro Sakai},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-stably positively expansive mapping; pseudo-orbit; shadowing property; time dependent stability},
language = {eng},
number = {2},
pages = {197-209},
title = {C¹-Stably Positively Expansive Maps},
url = {http://eudml.org/doc/280406},
volume = {52},
year = {2004},
}
TY - JOUR
AU - Kazuhiro Sakai
TI - C¹-Stably Positively Expansive Maps
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 197
EP - 209
AB - The notion of C¹-stably positively expansive differentiable maps on closed $C^∞$ manifolds is introduced, and it is proved that a differentiable map f is C¹-stably positively expansive if and only if f is expanding. Furthermore, for such maps, the ε-time dependent stability is shown. As a result, every expanding map is ε-time dependent stable.
LA - eng
KW - -stably positively expansive mapping; pseudo-orbit; shadowing property; time dependent stability
UR - http://eudml.org/doc/280406
ER -
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