scientific article; zbMATH DE number 7329801

zbMath1474.34230MaRDI QIDQ5857187

Silvia Turuta, Alexandru Şubă

Publication date: 30 March 2021

Full work available at URL: http://www.math.md/publications/basm/issues/y2019-n2/13036/

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

center problemcubic differential systemalgebraic multiplicityinvariant straight line

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position
• On the number of invariant straight lines for polynomial differential systems
• Elementary first integrals and algebraic invariant curves of differential equations
• Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities
• Planar cubic polynomial differential systems with the maximum number of invariant straight lines
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• The Center and Cyclicity Problems
• The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order
• Cubic systems with four real line invariants
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