New family of cubic Hamiltonian centers

DOI10.1007/s40590-016-0126-6zbMath1388.34022OpenAlexW2339353368MaRDI QIDQ1694990

Jaume Llibre, Martín Eduardo Frías-Armenta

Publication date: 6 February 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/224220

zbMATH Keywords

isochronous centerHamiltonian systemPoincaré disc

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (2)

Detection of special curves via the double resultant ⋮ Polynomial differential systems with even degree have no global centers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrability of plane quadratic vector fields
• Quadratic Hamiltonian vector fields
• Quadratic systems with center and their perturbations
• The classification of reversible cubic systems with center
• Remarks on ``The classification of reversible cubic systems with center
• Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
• Cubic vector fields symmetric with respect to a center
• Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
• Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
• Qualitative theory of planar differential systems
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• Classification of Continuous Flows on 2-Manifolds
• Global Structure of Ordinary Differential Equations in the Plane

This page was built for publication: New family of cubic Hamiltonian centers