Discrete Integrable Systems

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Grammaticos, Basil (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Kosmann-Schwarzbach, Yvette (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Tamizhmani, Thamizharasi (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Έκδοση: 1st ed. 2004.
• Σειρά: Lecture Notes in Physics, 644
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Partial differential equations.; Mathematical Methods in Physics.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.

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 gr...

Πίνακας περιεχομένων:

• 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).