Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system

DOI10.3934/dcds.2009.24.841zbMath1180.34034OpenAlexW2074804313MaRDI QIDQ1030540

Zhirong He, Wei Nian Zhang

Publication date: 2 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.841

zbMATH Keywords

Riccati equationPicard-Fuchs equationabelian integralcritical periodplanar cubic differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

Global dynamics of a cubic Hamiltonian system with a periodic annulus linked to equilibria at infinity

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