- Tytuł:
- All solenoids of piecewise smooth maps are period doubling
- Autorzy:
-
Alsedà, Lluís
Jiménez López, Víctor
Snoha, L’ubomír - Powiązania:
- https://bibliotekanauki.pl/articles/1205307.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Markov graph
periodic point
piecewise smooth map with nowhere vanishing Lipschitz continuous derivative
piecewise linear map
solenoid - Opis:
- We show that piecewise smooth maps with a finite number of pieces of monotonicity and nowhere vanishing Lipschitz continuous derivative can have only period doubling solenoids. The proof is based on the fact that if $p_1 < ... < p_n$ is a periodic orbit of a continuous map f then there is a union set ${q_1,..., q_{n-1}}$ of some periodic orbits of f such that $p_i < q_i < p_{i+1}$ for any i.
- Źródło:
-
Fundamenta Mathematicae; 1998, 157, 2-3; 121-138
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł