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Structural stability of germs of vector fields on surfaces with a simple singularity

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Holomorphic Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1345))

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References

  1. ARNOLD, V. Chapitres supplementaires de la theorie des equations differentielles ordinaires. Editons MIR 1980.

    Google Scholar 

  2. DUMORTIER, F. et ROUSSARIE, R. Etude locale des champs de vecteurs a parametres, Asterisque 59–60 1978.

    Google Scholar 

  3. EPSTEIN, D. Periodic flows on three-manifolds, Ann. of Math. 95 1972, 66–82.

    Article  MathSciNet  MATH  Google Scholar 

  4. GUCKENHEIMER, J. Hartman's theorem for complex flows in the Poincaré domain. Compositio Mathematica vol. 24, Fasc. 1 1972, 75–82.

    MathSciNet  MATH  Google Scholar 

  5. MONTESINOS, J. Variedades de mosaicos. Sexta escuela latinoamericana de matemáticas, IPN 1982

    Google Scholar 

  6. PALIS, J. and SMALE, S. Structural Stability theorems. AMS Proceedings of Symposia of Pure Mathematics. Vol. XIV 1970, 223–234.

    Article  MathSciNet  MATH  Google Scholar 

  7. POINCARE, H. Sur les propriétés des fonctions définies par les équations aux différences — partielles,These, Paris, 1879. Ouvres Completes, I.

    Google Scholar 

  8. SEIFERT, H. Topologie dreidimensionaler gefaserter Raume, Acta Mathematica 60 1933, 147–238.

    Article  MathSciNet  MATH  Google Scholar 

  9. SEIFERT, H. and THRELFALL, W. Topologische Untersuchungen Diskontinuitatsbeiche endlicher Bewegungsgruppen — des dreimensionalen spharischen Raumes I, Math. Ann. 104, 1931, 1–70; II Math. Ann. 107, 1933, 543–596.

    Article  MathSciNet  MATH  Google Scholar 

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Xavier Gomez-Mont José A. Seade Alberto Verjovski

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© 1988 Springer-Verlag

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Sánchez-Bringas, F. (1988). Structural stability of germs of vector fields on surfaces with a simple singularity. In: Gomez-Mont, X., Seade, J.A., Verjovski, A. (eds) Holomorphic Dynamics. Lecture Notes in Mathematics, vol 1345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081408

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  • DOI: https://doi.org/10.1007/BFb0081408

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50226-5

  • Online ISBN: 978-3-540-45957-6

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