Limit cycles of a class of polynomial vector fields in the plane

DOI10.1016/0022-0396(86)90055-0zbMath0651.34020OpenAlexW1974965482MaRDI QIDQ1106378

Carmen C. Chicone

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90055-0

zbMATH Keywords

limit cyclespolynomial vector fieldsplanar systems

Mathematics Subject Classification ID

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

Related Items

On the limit cycles of polynomial differential systems with homogeneous nonlinearities ⋮ A simple class of quadratic systems ⋮ On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities ⋮ Limit cycles of polynomial systems with homogeneous non-linearities ⋮ Limit cycles of a class of polynomial systems ⋮ On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities ⋮ On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique

Cites Work

• Limit cycles of planar quadratic differential equations
• Separatrix and Limit Cycles of Quadratic Systems and Dulac's Theorem
• The number of limit cycles of certain polynomial differential equations
• On General Properties of Quadratic Systems
• The stability of second-order quadratic differential equations
• A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems
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