TY - JOUR
T1 - New family of cubic Hamiltonian centers
AU - Llibre, Jaume
AU - Frías-Armenta, Martín Eduardo
PY - 2017/10/1
Y1 - 2017/10/1
N2 - © 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.
AB - © 2016, Sociedad Matemática Mexicana. We characterize the 11 non-topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=12((x+ax2+bxy+cy2)2+y2),with a2+ b2+ c2≠ 0.
KW - Isochronous center
KW - Hamiltonian system
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=6487849
U2 - 10.1007/s40590-016-0126-6
DO - 10.1007/s40590-016-0126-6
M3 - Article
SN - 1405-213X
VL - 23
SP - 737
EP - 758
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 2
ER -