Peixoto's theorem for vector fields on \(\mathbb S^2\) with impasse points

DOI10.1016/j.bulsci.2013.01.003zbMath1285.34053OpenAlexW2039429310MaRDI QIDQ390542

Claudio A. Buzzi, João C. R. Medrado, Paulo Ricardo da Silva

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.01.003

zbMATH Keywords

regularizationstructural stabilityvector fieldsconstrained systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Geometric methods in ordinary differential equations (34A26) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems on manifolds (34C40)

Related Items

Codimension-one singularities of constrained systems on \(\mathbb{R}^3\) ⋮ Resolution of singularities of 2-dimensional real analytic constrained differential systems

Cites Work

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• Structurally stable differential systems of the form \(A(x)x'=F(x)\)
• GLOBAL DYNAMICS OF THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
• Bounded Polynomial Vector Fields
• Structural Stability of Constrained Polynomial Systems
• Local normal forms for constrained systems on 2-manifolds
• Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\)