Keywords
- Unstable Manifold
- Infinitesimal Generator
- Local Classification
- Convergent Power Series
- Siegel Domain
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References
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M. CHAPERON: Linéarisation des germes hyperboliques d'actions différentiables de ℝk × ℒm: le domaine de Poincaré, C. R. Acad. Sc. Paris, t. 289 (1979), série A, p.325–328.
M. CHAPERON: Propriétés génériques des germes d'actions différentiables de groupes de Lie commutatifs élémentaires, thèse, Université Paris 7, octobre 1980.
M. CHAPERON: Singularités des systèmes dynamiques, lectures given at Ecole Normale Supérieure in 1981, to appear (probably in Astérique).
M. CHAPERON: To appear.
F. DUMORTIER, R. ROUSSARIE: Smooth linearization of germs of ℝ2-actions and holomorphic vector fields, Ann. Inst. Fourier, Grenoble, 30, 1 (1980), 31–64.
J. GUCKENHEIMER: Hartman's theorem for complex flows in the Poincaré domain, Compositio Math. 24, (1972), p.75–82.
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© 1983 Springer-Verlag
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Chaperon, M. (1983). On the local classification of holomorphic vector fields. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061412
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DOI: https://doi.org/10.1007/BFb0061412
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