New family of cubic Hamiltonian centers

New family of cubic Hamiltonian centers

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=1/2((x+ax2+bxy+cy2)2+y2), with a2+b2+c2≠0.

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Bibliographische Detailangaben
Hauptverfasser: Frías-Armenta, Martín-Eduardo, Llibre, Jaume
Format: Artikel
Sprache:eng
Schlagworte:
Hamiltonian system
Isochronous center
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Zusammenfassung: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=1/2((x+ax2+bxy+cy2)2+y2), with a2+b2+c2≠0.