Characterization of the finite weak singularities of quadratic systems via invariant theory

DOI10.1016/j.na.2011.06.040zbMath1364.34038OpenAlexW2022015221MaRDI QIDQ640187

Nicolae Vulpe

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.040

zbMATH Keywords

centerfocussaddlequadratic differential systemintegrable saddleaffine invariant polynomialweak singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (12)

Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials ⋮ Geometric analysis of quadratic differential systems with invariant ellipses ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\) ⋮ 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 ⋮ Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point ⋮ Global topological configurations of singularities for the whole family of quadratic differential systems ⋮ Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle ⋮ The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (C) ⋮ Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1, 1)SN - (B) ⋮ GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE

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