Article ISI SCOPUS
Canadian Mathematical Bulletin  (2020)

Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin

Llibre, J.; Martínez P.; Vidal, C

Keywords: Hamiltonian system; Linear type center; Phase portrait; Polynomial vector field; Quartic polynomial

Abstract

We study the number of limit cycles bifurcating from the origin of a Hamiltonian system of degree. We prove, using the averaging theory of order 8, that there are quartic polynomial systems close these Hamiltonian systems having 3 limit cycles.

Más información

Título según WOS: Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin
Título según SCOPUS: Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin
Título de la Revista: Canadian Mathematical Bulletin
Volumen: 63
Número: 3
Editorial: Cambridge University Press
Fecha de publicación: 2020
Página final: 561
Idioma: English
DOI:

10.4153/S0008439519000626
Notas: ISI, SCOPUS