Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields

DOI10.5565/PUBLMAT_Extra14_23zbMath1347.37040OpenAlexW1964904421MaRDI QIDQ482188

Dana Schlomiuk

Publication date: 19 December 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5565/publmat_extra14_23

zbMATH Keywords

topological invariantsmoduli spacephase portraitquadratic vector fieldsaffine invariant polynomials

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and systems on manifolds (34C40) Global theory of singularities (58K30)

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Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials ⋮ Bifurcation Diagrams and Quotient Topological Spaces Under the Action of the Affine Group of a Family of Planar Quadratic Vector Fields ⋮ Geometric analysis of quadratic differential systems with invariant ellipses ⋮ The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (A, B) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle

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