This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme.
Topics covered include irregular connections, rank reduction and summability of solutions 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 interactions between computer algebra, dynamical systems and combinatorics discussed in this volume should be useful for both mathematicians and theoretical physicists who are interested in effective computation.
Author(s): F. Fauvet, C. Mitschi
Series: Irma Lectures in Mathematics and Theoretical Physics, 3
Publisher: Walter de Gruyter
Year: 2003
Language: English
Pages: 258
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
