Fenichel theory for multiple time scale singular perturbation problems
Loading...
Files
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Article
Access right
Acesso aberto
Files
External sources
External sources
Abstract
This paper is concerned with a geometric study of singularly perturbed systems of ordinary differential equations expressed by (n-1)-parameter families of smooth vector fields on ℝl, where n ≥ 2. The inherent characteristic of such systems is the presence of an arbitrary number n of time scales. For n = 2, the proposed geometric approach in this paper reports to Fenichel theory of fast-slow systems [N. Fenichel, J. Differential Equations, 31 (1979), pp. 53-98]. We extend the three main theorems due to Fenichel [N. Fenichel, J. Differential Equations, 31 (1979), pp. 53-98] to systems involving any number of time scales.
Description
Keywords
Fenichel theory, Multiple time scales, Singular perturbation
Language
English
Citation
SIAM Journal on Applied Dynamical Systems, v. 16, n. 3, p. 1425-1452, 2017.
