The Geometry of Quadratic Polynomial Differential Systems with a Finite and an Infinite Saddle-Node (A, B)

DOI10.1142/S0218127414500448zbMath1296.34074arXiv1303.2525OpenAlexW3101256696WikidataQ115245950 ScholiaQ115245950MaRDI QIDQ3191926

Joan C. Artés, Alex Rezende, Regilene D. S. Oliveira

Publication date: 26 September 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2525

zbMATH Keywords

phase portraitsbifurcation diagramalgebraic invariantsquadratic differential systemsfinite saddle-nodeinfinite saddle-node

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (7)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection ⋮ The interplay among the topological bifurcation diagram, integrability and geometry for the family \(\mathrm{QSH(D)}\) ⋮ 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 - (A) ⋮ Quadratic Differential Systems with a Finite Saddle-Node and an Infinite Saddle-Node (1, 1)SN - (B)

Cites Work

• Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields
• Structurally stable quadratic vector fields
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