  guest ::
login
|
||||||||||||||
|
Search | Help | Servei de Biblioteques | Sobre el DDD | Català English Español | |||||||||
| Home > Articles > Published articles > Polynomial differential equations with many real ovals in the same algebraic complex solution |
| Date: | 2011 |
| Abstract: | Let FolR(2, d) be the space of real algebraic foliations of degree d in RP(2). For fixed d, let IntR(2, d) = {F 2 FolR(2, d) | F has a non-constant rational first integral}. Given F 2 IntR(2, d), with primitive first integral G, set O(F) = number of real ovals of the generic level (G = c). Let O(d) = sup{O(F) | F 2 IntR(2, d)}. The main purpose of this paper is to prove that O(d) = +1 for all d _ 5. |
| Rights: | Tots els drets reservats  |
| Form: | article ; article ; publishedVersion |
| Published in: | Publicacions Matemàtiques, Vol. 55, Núm. 2 (2011) , p. 379-399, ISSN 0214-1493 |
21 p, 211.8 KB  Accés restringit a la UAB |
