On the multiplicity of algebraic limit cycles

DOI10.1007/s10884-012-9249-2zbMath1264.34057OpenAlexW1999335475MaRDI QIDQ715722

Jesús S. Pérez del Río, Jaume Giné, Belén García, Maite Grau

Publication date: 31 October 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9249-2

zbMATH Keywords

multiplicityalgebraic limit cyclealmost algebraically solvableplanar differential systemtranscendental dependence on parameters

Mathematics Subject Classification ID

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

Related Items (1)

The cubic polynomial differential systems with two circles as algebraic limit cycles

Cites Work

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• Cyclicity versus center problem
• An explicit expression for the first return map in the center problem
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Multiplicity of limit cycles and analytic \(m\)-solutions for planar differential systems
• Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem
• Inverse problems for invariant algebraic curves: explicit computations
• Invariant algebraic curves and conditions for a centre
• On the center problem for ordinary differential equations

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