 visitante ::
identificación
|
|||||||||||||||
|
Buscar | Enviar | Ayuda | Servicio de Bibliotecas | Sobre el DDD | Català English Español | |||||||||
| Página principal > Artículos > Artículos publicados > An explicit bound of the number of vanishing double moments forcing composition |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Fecha: | 2013 |
| Resumen: | We give two new characterizations of pairs of polynomials or trigonometric polynomials that form a composition pair. One of them proves that the cancellation of a given number of double moments implies that they form a composition pair. This number only depends on the maximum degree of both polynomials. This is the first time that composition is characterized in terms of the cancellation of an explicit number of double moments. Our results allow to recognize the composition centers for polynomial and trigonometric Abel differential equations. |
| Nota: | Agraïments: We thank our colleague Joaquim Roe for his valuable comments. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió acceptada per publicar |
| Materia: | Periodic orbits ; Centers ; Trigonometric Abel equation ; Double moments ; Composition pair ; Parameterizable algebraic curve ; Topological degree |
| Publicado en: | Journal of differential equations, Vol. 255 (2013) , p. 339-350, ISSN 1090-2732 |
16 p, 318.0 KB |
