From combinatorics to dynamical systems : journées de calcul formel, Strasbourg, March 22-23, 2002 /

Annotation This book contains nine refereed research papers in various areas, from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, summability of solutions and rank reduction of differential systems, asymptotic...

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Other Authors: Fauvet, F., Mitschi, C.
Format: Electronic eBook
Language:English
French
Published: Berlin ; New York : Walter de Gruyter, ©2003.
Series:IRMA lectures in mathematics and theoretical physics ; 3.
Subjects:
Online Access:CONNECT

MARC

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520 8 |a Annotation This book contains nine refereed research papers in various areas, from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, summability of solutions and rank reduction of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The volume as a whole gives a presentation of productive interactions between ideas stemming from computer algebra and questions arising in dynamical systems or combinatorics. As such, it should be useful for both mathematicians and theoretical physicists who are interested in effective computation. 
505 0 |a Preface; Table of Contents; Hommage à Jean Thomann; Formal computations about multiple zeta values; Algorithmic computation of exponents for linear differential systems; Sur les représentations de solutions formelles d'équations différentielles; Remarques algorithmiques liées au rangd'un opérateur différentiel linéaire; Gevrey normal form of systems of differential equations with a nilpotent linear part; Application of J.-J. Morales and J.-P. Ramis'theorem to test the non-complete integrability of the planar three-body problem; On a constructive approach to the solution of dynamical systems 
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