The bifurcation diagram of the configurations of invariant lines of total multiplicity exactly three in quadratic vector fields

DOI10.56415/basm.y2023.i1.p42zbMath1527.34068MaRDI QIDQ6066923

Cristina Bujac, Dana Schlomiuk, Nicolae Vulpe

Publication date: 16 November 2023

Published in: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica (Search for Journal in Brave)

zbMATH Keywords

singularitygroup actionquadratic differential systempolynomial invariantconfiguration of invariant linesinvariant line

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines
• Multiplicity of invariant algebraic curves in polynomial vector fields
• The full study of planar quadratic differential systems possessing a line of singularities at infinity
• Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity
• Total multiplicity of all finite critical points of the polynomial differential system
• Quadratic differential systems with complex conjugate invariant lines meeting at a finite point
• Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point
• On families \(\boldsymbol{QSL}_{\geq 2}\) of quadratic systems with invariant lines of total multiplicity at least 2
• Global topological configurations of singularities for the whole family of quadratic differential systems
• Planar quadratic vector fields with invariant lines of total multiplicity at least five
• Planar quadratic differential systems with invariant straight lines of total multiplicity four
• Geometry of quadratic differential systems in the neighborhood of infinity

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