The improved Euler–Jacobi formula and the planar cubic polynomial vector fields in ℝ2

DOI10.1080/14689367.2022.2066508OpenAlexW4224287405WikidataQ113849308 ScholiaQ113849308MaRDI QIDQ5867601

Claudia Valls, Jaume Llibre

Publication date: 14 September 2022

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2022.2066508

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

• 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 the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems
• On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula
• The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems
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