Fauvet / Mitschi From Combinatorics to Dynamical Systems

Journées de Calcul Formel, Strasbourg, March 22-23, 2002
1., Nachdruck 2010
ISBN: 978-3-11-020000-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 3, 252 Seiten

Reihe: IRMA Lectures in Mathematics and Theoretical Physics

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.

Autoren/Hrsg.

Fauvet, Frederic

Mitschi, Claude

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik Mathematik Algebra
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

1;Frontmatter;1
2;Table of Contents;7
3;Formal computations about multiple zeta values;13
4;Algorithmic computation of exponents for linear differential systems;29
5;Sur les représentations de solutions formelles d’équations différentielles;75
6;Remarques algorithmiques liées au rang d’un opérateur différentiel linéaire;99
7;Gevrey normal form of systems of differential equations with a nilpotent linear part;143
8;Application of J.-J. Morales and J.-P. Ramis’ theorem to test the non-complete integrability of the planar three-body problem;175
9;On a constructive approach to the solution of dynamical systems;191
10;Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre;207
11;Hybrid Systems;225
12;Backmatter;253

Frontmatter
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 rang d'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 the planar three-body problem
On a constructive approach to the solution of dynamical systems
Sur la "solution analytique générale" d'une équation différentielle chaotique
Hybrid Systems