Gradient systems of harmonic polynomials

DOI10.1016/j.jde.2020.06.056zbMath1453.34041OpenAlexW3042409560MaRDI QIDQ2202280

Oscar Ramírez, Jaume Llibre

Publication date: 18 September 2020

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.056

zbMATH Keywords

harmonic polynomialgradient systemphase portrait

Mathematics Subject Classification ID

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

Cites Work

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• Global structure of quaternion polynomial differential equations
• Examples of non-conjugated holomorphic vector fields and foliations
• Gradient-like and integrable vector fields on \({\mathbb{R}}^ 2\)
• Vector fields defined by complex functions
• Conformal equivalence of analytic flows
• Quadratic gradients on the plane are generically Morse-Smale
• Solving quaternion ordinary differential equations with two-sided coefficients
• Qualitative theory of planar differential systems
• On gradient dynamical systems
• Harmonic Function Theory
• One-dimensional quaternion homogeneous polynomial differential equations
• On meromorphic complex differential equations

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