Coordinate transformations for singular perturbation problem

Abstract

Singular perturbation methods are refomulated with the aid of Lie's invariant transformation group. Singularities are analized through the expansion in small parameter and in order to modefy the singularity new independent variables are introduced as the canonical coordinates for the projectable group . Several examples of the algebraic and the differential equations are shown.

Keywords:

• coordinate transformations
• singular perturbations
• Lie group

Additional information

Notes on contributors

Naruyoshi Asano