scientific article; zbMATH DE number 7385022

zbMath1468.34038MaRDI QIDQ5010262

Camila Ap. B. Rodrigues, Jaume Llibre, Regilene D. S. Oliveira

Publication date: 25 August 2021

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2021/69/abstr.html#latest

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zbMATH Keywords

algebraic invariant curvequadratic vector fieldsglobal phase portraitDarboux invariant

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Chordal quadratic systems
• Darboux invariants for planar polynomial differential systems having an invariant conic
• Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities
• Qualitative theory of planar differential systems
• A survey of quadratic systems
• Invariant algebraic curves and conditions for a centre
• Darbouxian first integrals and invariants for real quadratic systems having an invariant conic
• Darboux integrability and invariant algebraic curves for planar polynomial systems
• Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves
• On algebraic solutions of algebraic Pfaff equations
• Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants
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