Home > Articles > Published articles > Centers for a class of generalized quintic polynomial differential systems |
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 1873-5649 |
Postprint 21 p, 834.7 KB |