03642nam 22006375 450 991025739100332120251117004519.03-540-40357-410.1007/b94662(CKB)1000000000231144(SSID)ssj0000322672(PQKBManifestationID)12117614(PQKBTitleCode)TC0000322672(PQKBWorkID)10287104(PQKB)11380298(DE-He213)978-3-540-40357-9(PPN)155183575(EXLCZ)99100000000023114420121227d2004 u| 0engurnn|008mamaatxtccrDiscrete Integrable Systems /edited by Basil Grammaticos, Yvette Kosmann-Schwarzbach, Thamizharasi Tamizhmani1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XVIII, 441 p.) Lecture Notes in Physics,0075-8450 ;644Bibliographic Level Mode of Issuance: Monograph3-540-21425-9 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).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.Lecture Notes in Physics,0075-8450 ;644PhysicsDynamicsErgodic theoryDifferential equations, PartialMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Physics.Dynamics.Ergodic theory.Differential equations, Partial.Mathematical Methods in Physics.Dynamical Systems and Ergodic Theory.Partial Differential Equations.515.45Grammaticos Basiledthttp://id.loc.gov/vocabulary/relators/edtKosmann-Schwarzbach Yvetteedthttp://id.loc.gov/vocabulary/relators/edtTamizhmani T(Thamizharasi),edthttp://id.loc.gov/vocabulary/relators/edtBOOK9910257391003321Discrete integrable systems669748UNINA