An explicit bound of the number of vanishing double moments forcing composition
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	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.
Note:	Agraïments: We thank our colleague Joaquim Roe for his valuable comments.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbits ; Centers ; Trigonometric Abel equation ; Double moments ; Composition pair ; Parameterizable algebraic curve ; Topological degree
Published in:	Journal of differential equations, Vol. 255 (2013) , p. 339-350, ISSN 1090-2732

DOI: 10.1016/j.jde.2013.04.009

Postprint 16 p, 318.0 KB

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