scientific article; zbMATH DE number 5174076

zbMath1129.34025MaRDI QIDQ5294323

Claudio Pessoa, Jaume Llibre

Publication date: 24 July 2007

Full work available at URL: https://eudml.org/doc/41857

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

limit cycleInvariant planeQuadratic homogeneous vector field

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and systems on manifolds (34C40)

Related Items (10)

Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems ⋮ Invariant circles and phase portraits of cubic vector fields on the sphere ⋮ Extended quasi-homogeneous polynomial system in \({\mathbb{R}^{3}}\) ⋮ Perturbations of May-Leonard system ⋮ Centers and limit cycles of vector fields defined on invariant spheres ⋮ The projective vector field of a kind of three-dimensional quasi-homogeneous system on \(\mathbb S\) ⋮ Phase portraits for quadratic homogeneous polynomial vector fields on \(\mathbb S^{2}\) ⋮ On the reversible quadratic polynomial vector fields on \(\mathbb{S}^2\) ⋮ A class of reversible quadratic polynomial vector fields on \(\mathbb S^2\) ⋮ Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere

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