Discrete integrable systems / B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani

Auteur secondaire : Kosmann-Schwarzbach, Yvette (1941-) - Editeur scientifique ; Tamizhmani, Thamizharasi - Editeur scientifique ; Grammaticos, Basil (1946-) - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in physics, (Internet) ; 644Langue: anglaisÉditeur: Berlin : Springer, 2004 ISBN: 9783540214250 Note: Proceedings of the international CIMPA school, Pondicherry, India, February 2–14, 2003. Contents: M. D. Kruskal, B. Grammaticos and T. Tamizhmani, Three lessons on the Painlevé property and the Painlevé equations (1–15); Ralph Willox and Junkichi Satsuma, Sato theory and transformation groups. A unified approach to integrable systems (17–55); Y. Ohta [Yasuhiro Ohta], Special solutions of discrete integrable systems (57–83); Alexander I. Bobenko [A. I. Bobenko], Discrete differential geometry. Integrability as consistency (85–110); Yu. B. Suris, Discrete Lagrangian models (111–184); Pavel Winternitz, Symmetries of discrete systems (185–243); B. Grammaticos and A. Ramani, Discrete Painlevé equations: a review (245–321); K. M. Tamizhmani, T. Tamizhmani, B. Grammaticos and A. Ramani, Special solutions for discrete Painlevé equations (323–382); Tetsuji Tokihiro, Ultradiscrete systems (cellular automata) (383–424); Yves Pomeau, Time in science: reversibility vs. irreversibility (425–436). Sujets MSC: 37-06 Dynamical systems and ergodic theory -- Proceedings, conferences, collections, etc
37J35 Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Completely integrable systems, topological structure of phase space, integration methods
34M55 Ordinary differential equations -- Differential equations in the complex domain -- Painlevé and other special equations; classification, hierarchies
37K20 Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Relations with algebraic geometry, complex analysis, special functions
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Proceedings of the international CIMPA school, Pondicherry, India, February 2–14, 2003. Contents: M. D. Kruskal, B. Grammaticos and T. Tamizhmani, Three lessons on the Painlevé property and the Painlevé equations (1–15); Ralph Willox and Junkichi Satsuma, Sato theory and transformation groups. A unified approach to integrable systems (17–55); Y. Ohta [Yasuhiro Ohta], Special solutions of discrete integrable systems (57–83); Alexander I. Bobenko [A. I. Bobenko], Discrete differential geometry. Integrability as consistency (85–110); Yu. B. Suris, Discrete Lagrangian models (111–184); Pavel Winternitz, Symmetries of discrete systems (185–243); B. Grammaticos and A. Ramani, Discrete Painlevé equations: a review (245–321); K. M. Tamizhmani, T. Tamizhmani, B. Grammaticos and A. Ramani, Special solutions for discrete Painlevé equations (323–382); Tetsuji Tokihiro, Ultradiscrete systems (cellular automata) (383–424); Yves Pomeau, Time in science: reversibility vs. irreversibility (425–436).

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