Physical description 
v, 259 pages : illustrations ; 23 cm. 
Series 
London Mathematical Society lecture note series ; 193. 

London Mathematical Society lecture note series ; 193.

Bibliography 
Includes bibliographical references. 
Contents 
1. Effective methods in Dmodules. 1.1. Motivations and introduction to the theory of Dmodules / B. Malgrange. 1.2. Dmodules: an overview towards effectivity / Ph. Maisonobe  2. Theoretical aspects in dynamical systems. 2.1. Introduction to the Ecalle theory / E. Delabaere. 2.2. Perturbation analysis of nonlinear systems / K. R. Meyer  3. Normal forms. 3.1. Normal forms of differential systems / J. Della Dora, L. Stolovitch. 3.2. Versal normal form computation and representation theory / J. A. Sanders. 3.3. Painleve analysis and normal forms / L. Brenig and A. Goriely. 3.4. Normal forms and Stokes multipliers of nonlinear meromorphic differential equations / Y. Sibuya. 
Summary 
The Computer Algebra and Differential Equations meeting held in France in June 1992 (CADE92) was the third of a series of biennial workshops devoted to recent developments in computer algebra systems. This book contains selected papers from the meeting. 

Three main topics are discussed. The first of these is the theory of DModules. This offers an excellent way to handle linear systems of partial differential equations effectively. The second topic concerns the theoretical aspects of dynamical systems, with an introduction to Ecalle theory and perturbation analysis applied to differential equations and other nonlinear systems. The final topic is the theory of normal forms. Here recent improvements in the theory and computation of normal forms are discussed. 
Other author 
Tournier, E.

Subject 
Dmodules  Congresses.


Differentiable dynamical systems  Congresses.


Normal forms (Mathematics)  Congresses.


Algebra  Data processing  Congresses.


Differential equations  Congresses.

ISBN 
0521447577 
