On the geometric structure of the class of planar quadratic differential systems.

DOI10.1007/BF02969335zbMath1043.34035OpenAlexW2085197107WikidataQ115391036 ScholiaQ115391036MaRDI QIDQ1415969

Dana Schlomiuk, Robert Roussarie

Publication date: 9 December 2003

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02969335

zbMATH Keywords

geometricquadratic differential systems

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (5)

THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER ⋮ FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS ⋮ THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE ⋮ Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle ⋮ GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE

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• Hilbert's 16th problem for quadratic vector fields
• Limit-cycles and rotated vector fields
• Elementary graphics of cyclicity 1 and 2
• The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order
• On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus

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