Implicit differential equations with impasse singularities and singular perturbation problems

DOI10.1007/s11856-011-0169-3zbMath1258.34021OpenAlexW2071350362MaRDI QIDQ1760361

Pedro Toniol Cardin, Marco Antonio Teixeira, Paulo Ricardo da Silva

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0169-3

zbMATH Keywords

singular perturbationssingularityimpasse pointimplicit differential equationinvariant manifoldconstrained system

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

Invariant algebraic surfaces and impasses ⋮ Codimension-one singularities of constrained systems on \(\mathbb{R}^3\) ⋮ Resolution of singularities of 2-dimensional real analytic constrained differential systems ⋮ Singular impasse points of planar constrained differential systems ⋮ On singularly perturbed Filippov systems

Cites Work

• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• Geometric singular perturbation theory for ordinary differential equations
• On impasse points of quasilinear differential-algebraic equations
• Structurally stable differential systems of the form \(A(x)x'=F(x)\)
• On the mathematical foundations of electrical circuit theory
• Structural Stability of Constrained Polynomial Systems
• Local normal forms for constrained systems on 2-manifolds
• Relaxation oscillations including a standard chase on French ducks
• Canard cycles and center manifolds
• Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\)
• Unnamed Item

This page was built for publication: Implicit differential equations with impasse singularities and singular perturbation problems