- Tytuł:
- Limit cycles for vector fields with homogeneous components
- Autorzy:
-
Cima, A.
Gasukk, A.
Mañosas, F. - Powiązania:
- https://bibliotekanauki.pl/articles/1339194.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
homogeneous function
limit cycle
vector field - Opis:
- We study planar polynomial differential equations with homogeneous components. This kind of equations present a simple and well known dynamics when the degrees (n and m) of both components coincide. Here we consider the case $n\ne m$ and we show that the dynamics is more complicated. In fact, we prove that such systems can exhibit periodic orbits only when nm is odd. Furthermore, for nm odd we give examples of such differential equations with at least (n+m)/2 limit cycles.
- Źródło:
-
Applicationes Mathematicae; 1996-1997, 24, 3; 281-287
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł