组合数学和动力系统.pdf

IRMA Lectures in Mathematics and Theoretical Physics 3
Edited by Vladimir G. Turaev
Institut de Recherche Mathe´matique Avance´e
Universite´ Louis Pasteur RS
7 rue Rene´ Descartes
67084 Strasbourg Cedex
France
IRMA Lectures in Mathematics and Theoretical Physics
1 Deformation Quantization, Gilles Halbout (Ed.)
2 pact Quantum Groups and Groupoids, Leonid Vainerman (Ed.)
binatorics
to Dynamical Systems
Journe´es de Calcul Formel
Strasbourg, March 22
23, 2002
Editors
F. Fauvet
C. Mitschi

Walter de Gruyter · Berlin · New York
Editors
Fre´de´ric Fauvet, UFR de Maths et IRMA
CNRS UMR 7501, Universite´ Louis Pasteur,
7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: ******@-
Claude Mitschi
UFR de Maths et IRMA
CNRS UMR 7501, Universite´ Louis Pasteur,
7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: ******@-
Series Editor
Vladimir G. Turaev
Institut de Recherche Mathe´matique Avance´e (IRMA), Universite´ Louis Pasteur
.,
7, rue Rene´ Descartes, 67084 Strasbourg Cedex, France, e-mail: ******@-
Mathematics Subject Classification 2000:
11-04; 05E99, 11M99, 12H05, 12H10, 32C38, 33E05, 34A25, 34A30, 34A34, C20, 34E05, 34E10, 34M25,
34M30, 34M35, 40A05, 40D05, 68W30, 70F07, 70H05, 70H06
Physics and Astronomy Classification Scheme
1995:
.
f, 0260.
x, .
c, .
b, .
i, .
g
Key words:
Multiple zeta values, free Lie algebras, quasi-symmetric functions, irregular singularities, normal forms, mero-
morphic connections, ordinary differential equations, Gevrey asymptoticity, differential Galois theory, Lokta-
Volterra systems, equation of Kuramoto and Sivashinsky, unidimensional plex equation of Ginzburg
and Landau, hybrid automaton and modeling, optimal control, nonlinear ordinary differential equations.

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