Topological Classification of Quadratic Systems at Infinity

DOI10.1112/S0024610796004735zbMath0869.34027OpenAlexW2167566788MaRDI QIDQ4716720

Nicolae Vulpe, Igor V. Nikolaev

Publication date: 12 December 1996

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610796004735

zbMATH Keywords

algebraic invariantsphase portraitquadratic systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (9)

THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Unnamed Item ⋮ Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities ⋮ Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities ⋮ The full study of planar quadratic differential systems possessing a line of singularities at infinity ⋮ Geometry of quadratic differential systems in the neighborhood of infinity ⋮ On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus ⋮ From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields

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