scientific article; zbMATH DE number 5019877

zbMath1161.34016MaRDI QIDQ5290231

Vadim Yu. Kaloshin

Publication date: 28 April 2006

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

zbMATH Keywords

bifurcationlimit cycleAbelian integralpolycyclecyclicity16-th Hilbert's problemplanar polynomial system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Limit cycles coming from some uniform isochronous centers ⋮ Cycles of two-dimensional systems: computer calculations, proofs, and experiments ⋮ Universal stratifications and a Bertini-type theorem ⋮ Towards the General Theory of Global Planar Bifurcations

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