From Combinatorics to Dynamical Systems: Journees de Calcul Formel, Strasbourg, March 22-23, 2002

F. Fauvet, C. Mitschi9783110178753, 3-11-017875-3

Nine research papers from a March 2002 conference shed light on various areas of combinatorics and dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, rank reduction and summability of solutions of differential systems, asymptotic behavior of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi polynomial formalism, Padè approximants related to analytic integrability, and hybrid systems. The book will be of interest to mathematicians and theoretical physicists. There is no subject index.

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Table of contents :
Preface……Page 6
Table of Contents……Page 8
Hommage à Jean Thomann……Page 10
Formal computations about multiple zeta values……Page 14
Algorithmic computation of exponents for linear differential systems……Page 30
Sur les représentations de solutions formelles d’équations différentielles……Page 76
Remarques algorithmiques liées au rang d’un opérateur différentiel linéaire……Page 100
Gevrey normal form of systems of differential equations with a nilpotent linear part……Page 144
Application of J.-J. Morales and J.-P. Ramis’ theorem to test the non-complete integrability of the planar three-body problem……Page 176
On a constructive approach to the solution of dynamical systems……Page 192
Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre……Page 208
Hybrid Systems……Page 226