Web of Science: 4 citations, Scopus: 4 citations, Google Scholar: citations
Centers for a class of generalized quintic polynomial differential systems
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date: 2014
Abstract: We classify the centers of the polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation writes as z˙ = iz + (zz¯)d−5/2 (Az5 + Bz4z¯ + Cz3z¯2 + Dz2z¯3 + Ezz¯4 + Fz¯5), where A, B, C, D, E, F ∈ C and either A = Re(D) = 0, or A = Im(D) = 0, or Re(A) = D = 0, or Im(A) = D = 0.
Grants: Ministerio de Economía y Competitividad MTM2011-22877
Ministerio de Economía y Competitividad MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1204
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
European Commission 316338
European Commission 318999
Note: Agraïments: FEDER-UNAB10-4E- 378. The third author is supported by Portuguese National Funds through FCT - Fundaçâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió acceptada per publicar
Subject: Nilpotent center ; Degenerate center ; Lyapunov constants ; Bautin method
Published in: Applied Mathematics and Computation, Vol. 242 (2014) , p. 187-195, ISSN 0096-3003

DOI: 10.1016/j.amc.2014.05.047


Postprint
21 p, 834.7 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2016-05-06, last modified 2022-02-13



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