- Tytuł:
- Shift spaces and attractors in noninvertible horseshoes
- Autorzy:
- Bothe, H.
- Powiązania:
- https://bibliotekanauki.pl/articles/1205445.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
horseshoes
noninvertible maps
shift spaces
attractors - Opis:
- As is well known, a horseshoe map, i.e. a special injective reimbedding of the unit square $I^2$ in $ℝ^2$ (or more generally, of the cube $I^m$ in $ℝ^m$) as considered first by S. Smale [5], defines a shift dynamics on the maximal invariant subset of $I^2$ (or $I^m$). It is shown that this remains true almost surely for noninjective maps provided the contraction rate of the mapping in the stable direction is sufficiently strong, and bounds for this rate are given.
- Źródło:
-
Fundamenta Mathematicae; 1997, 152, 3; 267-289
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł