scientific article; zbMATH DE number 7329802

Publication date: 30 March 2021

Full work available at URL: http://www.math.md/publications/basm/issues/y2019-n2/13037/

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group action quadratic differential system phase portrait affine invariant polynomial Darboux invariant invariant conic

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) Singularities of vector fields, topological aspects (58K45)

Cites Work

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Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities
Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields
Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines
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
From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields
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
THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE
Quadratic systems having a parabola as an integral curve
Quadratic systems with an invariant conic having Darboux invariants
Geometric Configurations of Singularities of Planar Polynomial Differential Systems

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