The improved Euler-Jacobi formula and the planar polynomial vector fields of degree 2-4

DOI10.36045/j.bbms.210413azbMath1528.34033OpenAlexW4319590697MaRDI QIDQ6050046

Claudia Valls, Jaume Llibre

Publication date: 18 September 2023

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36045/j.bbms.210413a

zbMATH Keywords

singular pointstopological indexpolynomial differential systemsEuler-Jacobi formula

Mathematics Subject Classification ID

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

Cites Work

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• Configurations of fans and nests of limit cycles for polynomial vector fields in the plane
• Euler-Jacobian formula for double points and applications to quadratic and cubic systems
• On General Properties of Quadratic Systems
• Some Applications of the Euler-Jacobi Formula to Differential Equations
• The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems

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