- Tytuł:
- Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere
- Autorzy:
- Bielecki, Andrzej
- Powiązania:
- https://bibliotekanauki.pl/articles/1208030.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
topological conjugacy
gradient dynamical system
Euler method - Opis:
- This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via the Euler method.
- Źródło:
-
Annales Polonici Mathematici; 2000, 73, 1; 37-57
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł