- Tytuł:
- Smoothness of unordered curves in two-dimensional strongly competitive systems
- Autorzy:
- Mierczyński, Janusz
- Powiązania:
- https://bibliotekanauki.pl/articles/1338935.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
strongly competitive system of ordinary differential equations
invariant manifold
d-curve
Lotka-Volterra system - Opis:
- It is known that in two-dimensional systems of ODEs of the form $\dotx^i=x^if^i(x)$ with ${\partial f^i}/{\partial x^j} < 0$ (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class $C^1$.
- Źródło:
-
Applicationes Mathematicae; 1998-1999, 25, 4; 449-455
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł