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

DOI10.1515/ans-2017-6033zbMath1382.34030OpenAlexW2763298338MaRDI QIDQ680364

Claudia Valls, Jaume Llibre, Jaume Giné

Publication date: 23 January 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/199332

zbMATH Keywords

limit cyclescubic systemsinvariant algebraic curves

Mathematics Subject Classification ID

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

Related Items (1)

On the cubic Kukles systems with an algebraic limit cycle of degree two

Cites Work

• Limit cycles coming from some uniform isochronous centers
• The 16th Hilbert problem on algebraic limit cycles
• On the multiplicity of algebraic limit cycles
• Classification of quadratic systems admitting the existence of an algebraic limit cycle
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• Configurations of limit cycles and planar polynomial vector fields.
• On the 16th Hilbert problem for algebraic limit cycles
• Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems
• Qualitative theory of planar differential systems
• Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles
• The 16th Hilbert problem restricted to circular algebraic limit cycles
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Algebraic limit cycles in polynomial systems of differential equations
• Unnamed Item

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