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Normalisation des champs de vecteurs holomorphes (d'après A.-D. Brjuno [2])

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Séminaire Bourbaki vol. 1980/81 Exposés 561–578

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 901))

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Bibliographie

  1. V.-I. ARNOL'D—Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves, Funkts. Anal. Prilozhen. 10, 4(1976), 249–258.

    Article  MATH  Google Scholar 

  2. A.-D. BRJUNO—Analytical form of differential equations, Trans. Moscow Math. Soc., 25(1971), 131–288.

    MathSciNet  Google Scholar 

  3. C. CAMACHO, N.-H. KUIPER and J. PALIS—The topology of holomorphic flows with singularity, Publ. Math. I.H.E.S., 48(1978), 5–38.

    MATH  MathSciNet  Google Scholar 

  4. H. DULAC—Solutions d'un système d'équations différentielles dans le voisinage des valeurs singulières, Bull. Soc. Math. France, 40(1912), 324–383.

    MATH  MathSciNet  Google Scholar 

  5. H. DULAC—Recherches sur les points singuliers des équations différentielles, Journal Ec. Polytechnique, 2 9(1904), 1–125.

    Google Scholar 

  6. J.-P. FRANÇOISE—Sur les formes normales de champs de vecteurs, Bull. Union Math. Ital., 5 17 A(1980), 60–66.

    Google Scholar 

  7. J.-P. FRANÇOISE—Singularités de champs isochores, à paraître au Duke Math. Journal.

    Google Scholar 

  8. J. MARTINET et J.-P. RAMIS—Classification de certaines singularités, d'équations différentielles, à paraître.

    Google Scholar 

  9. J.-F. MATTEI et R. MOUSSU—Intégrales premières et holonomie, à paraître aux Annales E.N.S..

    Google Scholar 

  10. V.-A. PLISS—On the reduction of an analytic system of differential equations to a linear form, Diff. Eq., 1(1965), 111–118.

    Google Scholar 

  11. H. POINCARE—Oeuvres, vol. 1, Gauthiers-Villars, Paris, 1968, XLIX–CXXLIX.

    Google Scholar 

  12. A.-S. PYARTLI—Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field, Funk. Anal. Prilozhen, 6 4(1972), 339–340.

    MATH  MathSciNet  Google Scholar 

  13. H. RÜSSMANN—On the convergence of power series transformations of analytic mappings near a fixed point into a normal form, Preprint I.H.E.S., 1977.

    Google Scholar 

  14. C.-L. SIEGEL—Über die Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgewichtlösung, Nach. Akad. Wiss. Göttingen, Math. phys. Kl. II A(1952), 21–30.

    Google Scholar 

  15. B. TURCO—Sur les formes normales de singularités isolées de champs de vecteurs avec résonnances, Thèse 3è Cycle, Reims, 1980.

    Google Scholar 

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  1. Jean Martinet

    Present address: Institut de Mathématiques, 7 rue René Descartes, 67000, Strasbourg

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    1. Jean Martinet
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    © 1981 N. Bourbaki

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    Martinet, J. (1981). Normalisation des champs de vecteurs holomorphes (d'après A.-D. Brjuno [2]). In: Séminaire Bourbaki vol. 1980/81 Exposés 561–578. Lecture Notes in Mathematics, vol 901. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0097189

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    • DOI: https://doi.org/10.1007/BFb0097189

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-11176-4

    • Online ISBN: 978-3-540-38956-9

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