# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## $C^1$-Stably Positively Expansive Maps

### Tom 52 / 2004

Bulletin Polish Acad. Sci. Math. 52 (2004), 197-209 MSC: Primary 37C50, 37C75, 37D20. DOI: 10.4064/ba52-2-10

#### Streszczenie

The notion of $C^1$-stably positively expansive differentiable maps on closed $C^\infty$ manifolds is introduced, and it is proved that a differentiable map $f$ is $C^1$-stably positively expansive if and only if $f$ is expanding. Furthermore, for such maps, the $\varepsilon$-time dependent stability is shown. As a result, every expanding map is $\varepsilon$-time dependent stable.

#### Autorzy

• Kazuhiro SakaiDepartment of Mathematics
Utsunomiya University
Utsunomiya 321-8505, Japan
e-mail

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