Mostra el registre d'ítem simple
On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves
| dc.contributor.author | Llibre Saló, Jaume |
| dc.contributor.author | Ramírez Inostroza, Rafael Orlando |
| dc.contributor.author | Sadovskaia Nurimanova, Natalia Guennadievna |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
| dc.date.accessioned | 2011-03-23T10:34:46Z |
| dc.date.available | 2011-03-23T10:34:46Z |
| dc.date.created | 2011-01-15 |
| dc.date.issued | 2011-01-15 |
| dc.identifier.citation | Llibre, J.; Ramírez, R.; Sadovskaia, N. On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves. "Journal of differential equations", 15 Gener 2011, vol. 250, núm. 2, p. 983-999. |
| dc.identifier.issn | 0022-0396 |
| dc.identifier.uri | http://hdl.handle.net/2117/12028 |
| dc.description.abstract | We give an upper bound for the maximum number N of algebraic limit cycles that a planar polynomial vector field of degree n can exhibit if the vector field has exactly k nonsingular irreducible invariant algebraic curves. Additionally we provide sufficient conditions in order that all the algebraic limit cycles are hyperbolic. We also provide lower bounds for N. |
| dc.format.extent | 17 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries |
| dc.subject.lcsh | Limit cycles |
| dc.subject.lcsh | Polynomials |
| dc.subject.lcsh | Vector fields |
| dc.title | On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves |
| dc.type | Article |
| dc.subject.lemac | Polinomis |
| dc.subject.lemac | Camps vectorials |
| dc.subject.lemac | Cicles límits |
| dc.contributor.group | Universitat Politècnica de Catalunya. MMAC - Models Matemàtics aplicats a les ciencies humanes i de la natura |
| dc.identifier.doi | 10.1016/j.jde.2010.06.009 |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34A General theory |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 4960173 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Llibre, J.; Ramírez, R.; Sadovskaia, N. |
| local.citation.publicationName | Journal of differential equations |
| local.citation.volume | 250 |
| local.citation.number | 2 |
| local.citation.startingPage | 983 |
| local.citation.endingPage | 999 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [12]
-
Articles de revista [3.267]