: Frederic Fauvet, Claude Mitschi
: From Combinatorics to Dynamical Systems Journées de Calcul Formel, Strasbourg, March 22-23, 2002
: Walter de Gruyter GmbH& Co.KG
: 9783110200003
: IRMA Lectures in Mathematics and Theoretical Physics
: 1
: CHF 106.70
:
: Allgemeines, Lexika
: English
: 252
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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. 

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Frontmatter1
Table of Contents7
Formal computations about multiple zeta values13
Algorithmic computation of exponents for linear differential systems29
Sur les représentations de solutions formelles d’équations différentielles75
Remarques algorithmiques liées au rang d’un opérateur différentiel linéaire99
Gevrey normal form of systems of differential equations with a nilpotent linear part143
Application of J.-J. Morales and J.-P. Ramis’ theorem to test the non-complete integrability of the planar three-body problem175
On a constructive approach to the solution of dynamical systems191
Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre207
Hybrid Systems225
Backmatter253