Basil Grammaticos / Yvette Kosmann-Schwarzbach / Thamizharasi Tamizhmani (eds.)

Discrete Integrable Systems

Herausgegeben:Grammaticos, Basil; Kosmann-Schwarzbach, Yvette; Tamizhmani, T.

• Gebundenes Buch

Produktbeschreibung

This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

Produktdetails

• Lecture Notes in Physics 644
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-21425-0
• Seitenzahl: 441
• Englisch
• Abmessung: 242mm x 158mm x 27mm
• Gewicht: 890g
• ISBN-13: 9783540214250
• ISBN-10: 3540214259
• Artikelnr.: 12740256

Autorenporträt

Basil Grammaticos, University Paris, France / Yvette Kosmann-Schwarzbach, Ecole Polytechnique, Palaiseau, France / Thamizharasi Tamizhmani, Kanchimamunivar Centre for Graduate Studies, Pondicherry, India

Inhaltsangabe

Three Lessons on the Painlevé Property and the Painlevé Equations (M.D. Kruskal, B. Grammaticos, T. Tamizhmani).- Sato Theory and Transformation Groups. A Unified Approach to Integrable Systems (R. Willox, J. Satsuma).- Special Solutions of Discrete Integrable Systems (Y. Ohta).- Discrete Differential Geometry. Integrability as Consistency (A.I. Bobenko).- Discrete Lagrangian Models (Yu.B. Suris).- Symmetries of Discrete Systems (P. Winternitz).- Discrete Painlevé Equations: A Review (B. Grammaticos, A. Ramani).- Special Solutions for Discrete Painlevé Equations (K.M. Tamizhmani, T. Tamizhmani, B. Grammaticos, A. Ramani).- Ultradiscrete Systems (Cellular Automata) (T. Tokihiro).- Time in Science: Reversibility vs. Irreversibility (Y. Pomeau).