A geometric approach to singular perturbation problems with applications to nerve impulse equations

A new Approach to the Multi-Objective Control of Linear Singular Perturbation Systems

Geometric Singular Perturbation Theory

Geometric singular perturbation theory for stochastic differential equations

We consider slow–fast systems of differential equations, in which both the slow and fast variables are perturbed by additive noise. When the deterministic system admits a uniformly asymptotically stable slow manifold, we show that the sample paths of the stochastic system are concentrated in a neighbourhood of the slow manifold, which we construct explicitly. Depending on the dynamics of the re...

non-corrective approach to pronunciation

the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...

Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations

2014 We introduce and study a summability method of power series in several variables, and investigate applications to formal solutions of singular perturbation problems and partial differential equations. Doing so, we extend results of Lutz, Miyake and Schäfke, resp. Balser, for the complex heat equation to more general cases. RÉSUMÉ. 2014 Nous introduisons et considérons une méthode de sommab...