• The other method cons is t s in fac tor iz ing PI(X) in ~[X] , then P2(X] in ~(C~l)[X] where ~( Ctl) = ~[ X] / I I I (X) , for each i r reducible factor II 1 of P1 ' and so on.Expand

The algorithm DELIRE (Linear Differential Equation Irregular and REgular singularities) presented in this paper gives the formal solutions (normal and sub-normal) at an irregular singular point of a linear homogeneous differential operator, whose coefficients are formal Puiseux series.Expand

This paper presents an algorithm for building a fundamental system of formal solutions in the neighbourhood of every singularity of a linear homogenous differential operator.Expand

1. Mathematical Methods.- 1.1 Study of Singularities.- Pade-Hermite Approximants.- Somme Comments About the Numerical Utilization of Factorial Series.- to Real Quasianalytic Classes and Continuation… Expand

Abstract We propose in this paper a method for obtaining a significant refinement of normal forms for dynamical systems or vector fields, with concrete and interesting applications. We use lower… Expand

The goal of this paper is twofold: first a rapid introduction to the concept of hybrid system and second the presentation of a new direction in computer algebra that we have called hybrid computation.Expand

We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classicalnormal forms.Expand