- Tytuł:
- Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
- Autorzy:
-
Kolyada, Sergiĭ
Misiurewicz, Michał
Snoha, L’ubomír - Powiązania:
- https://bibliotekanauki.pl/articles/1205245.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
nonautonomous dynamical system
topological entropy
triangular maps
piecewise monotone maps
$C^∞$ maps - Opis:
- The topological entropy of a nonautonomous dynamical system given by a sequence of compact metric spaces $(X_i)^∞_{i = 1}$ and a sequence of continuous maps $(f_i)^∞_{i = 1}$, $f_i : X_i → X_{i+1}$, is defined. If all the spaces are compact real intervals and all the maps are piecewise monotone then, under some additional assumptions, a formula for the entropy of the system is obtained in terms of the number of pieces of monotonicity of $f_n ○... ○ f_2 ○ f_1$. As an application we construct a large class of smooth triangular maps of the square of type $2^∞$ and positive topological entropy.
- Źródło:
-
Fundamenta Mathematicae; 1999, 160, 2; 161-181
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł