TY - JOUR
T1 - Centers for a class of generalized quintic polynomial differential systems
AU - Giné, Jaume
AU - Llibre, Jaume
AU - Valls, Claudia
PY - 2014/9/1
Y1 - 2014/9/1
N2 - We characterize the centers of the planar polynomial differential systems of degree d≥5 odd that in complex notation writes asz=iz+( zz̄)d-52(Az5+Bz4z̄+ Cz3z̄2+Dz2z̄3+Ezz̄ 4+Fz̄5),where A,B,C,D,E,FC and either A=Re(E)=0, or A=Im(E)=0, or Re(A)=E=0, or Im(A)=E=0. © 2014 Elsevier Inc. All rights reserved.
AB - We characterize the centers of the planar polynomial differential systems of degree d≥5 odd that in complex notation writes asz=iz+( zz̄)d-52(Az5+Bz4z̄+ Cz3z̄2+Dz2z̄3+Ezz̄ 4+Fz̄5),where A,B,C,D,E,FC and either A=Re(E)=0, or A=Im(E)=0, or Re(A)=E=0, or Im(A)=E=0. © 2014 Elsevier Inc. All rights reserved.
KW - Nondegenerate center
KW - Poincaré- Lyapunov constants
KW - Polynomial differential systems
U2 - 10.1016/j.amc.2014.05.047
DO - 10.1016/j.amc.2014.05.047
M3 - Article
SN - 0096-3003
VL - 242
SP - 187
EP - 195
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -