Local normal forms for constrained systems on 2-manifolds

DOI10.1007/BF01237678zbMath0799.58071OpenAlexW2052012439MaRDI QIDQ4288851

Michail Zhitomirskii

Publication date: 26 May 1994

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01237678

zbMATH Keywords

impasse pointphase portraitconstrained system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Related Items (16)

Invariant algebraic surfaces and impasses ⋮ Codimension-one singularities of constrained systems on \(\mathbb{R}^3\) ⋮ Local analytic classification for quasi-linear implicit differential systems at transversal singular points ⋮ Resolution of singularities of 2-dimensional real analytic constrained differential systems ⋮ Constrained equations with impasse points ⋮ Linearly implicit Liénard systems ⋮ Peixoto's theorem for vector fields on \(\mathbb S^2\) with impasse points ⋮ The complex viewpoint for transverse impasse points of quasi-linear differential equations ⋮ Singular impasse points of planar constrained differential systems ⋮ Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\) ⋮ Implicit differential equations with impasse singularities and singular perturbation problems ⋮ Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study ⋮ Completely symmetric centers ⋮ On the local classification of smooth maps induced by Newton's method ⋮ On singularly perturbed Filippov systems ⋮ Singularities of functions on the Martinet plane, constrained Hamiltonian systems and singular Lagrangians

Cites Work

• Normal forms for constrained nonlinear differential equations. I. Theory
• Unnamed Item

This page was built for publication: Local normal forms for constrained systems on 2-manifolds