Contents

pp v-v

Acknowledgements

pp vi-vi

Preface

pp vii-viii

1 - Effective methods in D-modules

pp 1-2

1.1 - Motivations and introduction to the theory of D-modules

pp 3-20

1.2 - D-modules: an overview towards effectivity

pp 21-56

2 - Theoretical aspects in dynamical systems

pp 57-58

2.1 - Introduction to the Ecalle theory

pp 59-102

2.2 - Perturbation analysis of nonlinear systems

pp 103-140

3 - Normal forms

pp 141-142

3.1 - Normal forms of differential systems

pp 143-184

3.2 - Versal normal form computation and representation theory

pp 185-210

3.3 - Painlevé analysis and normal forms

pp 211-238

3.4 - Normal forms and Stokes multipliers of nonlinear meromorphic differential equations

pp 239-259