Transition Time Analysis in Singularly Perturbed Boundary Value Problems

DOI10.2307/2155217zbMath0849.34019OpenAlexW4230496448MaRDI QIDQ4875648

Freddy Dumortier, Bert Smits

Publication date: 15 October 1996

Full work available at URL: https://doi.org/10.2307/2155217

zbMATH Keywords

singularly perturbed boundary value problemtransition timedesingularization techniquesglobal blowing up

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Rigorous asymptotic expansions for Lagerstrom's model equation -- a geometric approach ⋮ Conjugacy of vector fields respecting additional properties.

Cites Work

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• Applications of centre manifold theory
• Singularities of vector fields
• Partially hyperbolic fixed points
• Canard cycles and center manifolds
• Partially hyperbolic fixed points with constraints
• A method of desingularization for analytic two-dimensional vector field families
• Finiteness for critical periods of planar analytic vector fields

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