Discrete integrable systems / B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani
Type de document : Livre numériqueCollection : Lecture notes in physics, 644Langue : anglais.Éditeur : Berlin : Springer, 2004ISBN: 9783540214250.ISSN: 0075-8450.Sujet MSC : 37-06, Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory37J35, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
34M55, Ordinary differential equations in the complex domain, Painlevé and other special ordinary differential equations; classification, hierarchies
37K20, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, Relations with algebraic geometry, complex analysis, and special functionsEn-ligne : Springerlink
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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