Polynomial first integrals of systems in the plane with center type linear part

DOI10.1016/S0362-546X(97)00419-7zbMath0890.34026OpenAlexW1981031737MaRDI QIDQ4373341

Jaume Giné, Javier Chavarriga

Publication date: 14 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00419-7

zbMATH Keywords

center-focus problempolynomial first integralanalytic planar vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

A general class of centers for the Poincaré problem ⋮ Polynomial first integrals via the Poincaré series

Cites Work

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• Integrability of plane quadratic vector fields
• On the structure of Poincaré-Lyapunov constants for the weak focus of polynomial vector fields
• A method of constructing cycles without contact around a weak focus
• A survey of quadratic systems
• Integrable systems in the plane with center type linear part
• On a certain generalization of Bautin's theorem

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