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- 252 pages
- English
- PDF
- Available on iOS & Android
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About This Book
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.
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Table of contents
- Frontmatter
- Table of Contents
- 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 test the non-complete integrability of 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 du troisième ordre
- Hybrid Systems
- Backmatter