Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four
Bifurcation, théorie ergodique et applications - 22-26 juin 1981, Astérisque, no. 98-99 (1982), pp. 74-142.
@incollection{AST_1983__98-99__74_0,
     author = {Braaksma, B. L. J. and Broer, H. W.},
     title = {Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four},
     booktitle = {Bifurcation, th\'eorie ergodique et applications - 22-26 juin 1981},
     series = {Ast\'erisque},
     pages = {74--142},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {98-99},
     year = {1982},
     mrnumber = {724444},
     zbl = {0517.58033},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1983__98-99__74_0/}
}
TY  - CHAP
AU  - Braaksma, B. L. J.
AU  - Broer, H. W.
TI  - Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four
BT  - Bifurcation, théorie ergodique et applications - 22-26 juin 1981
AU  - Collectif
T3  - Astérisque
PY  - 1982
SP  - 74
EP  - 142
IS  - 98-99
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1983__98-99__74_0/
LA  - en
ID  - AST_1983__98-99__74_0
ER  - 
%0 Book Section
%A Braaksma, B. L. J.
%A Broer, H. W.
%T Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four
%B Bifurcation, théorie ergodique et applications - 22-26 juin 1981
%A Collectif
%S Astérisque
%D 1982
%P 74-142
%N 98-99
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1983__98-99__74_0/
%G en
%F AST_1983__98-99__74_0
Braaksma, B. L. J.; Broer, H. W. Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension four, dans Bifurcation, théorie ergodique et applications - 22-26 juin 1981, Astérisque, no. 98-99 (1982), pp. 74-142. http://archive.numdam.org/item/AST_1983__98-99__74_0/

[1] Arnol'D, V. I.: Lectures on Bifurcations and Versal Families. In: Russ. Math. Surveys 27, 54-123 (1972). | DOI | MR | Zbl

[2] Arnol'D, V. I., Avez, A.: Problèmes Ergodiques de la Mécanique Classique. Paris: Gautlier-Villars 1967. | MR | Zbl

[3] Broer, H. W.: Formal Normal Form Theorems for Vector Fields and some Consequences for Bifurcations in the Volume Preserving Case. To appear, proceedings Warwick 1980, Springer. | MR | Zbl

[4] Broer, H. W.: Quasi Periodic Flow near a Codimension One Singularity of a Divergence Free Vector Field in Dimension Three. To appear, proceedings Warwick 1980, Springer. | MR | Zbl

[5] Broer, H. W.: Bifurcations of Singularities in Volume Preserving Vector Fields. Groningen, Ph. D-thesis, 1979.

[6] Broer, H. W., Van Strien, S.J.: Infinitely Many Moduli of Strong Stability in Generic Divergence Free Unfoldings. To be published. | Zbl

[6a] Deimling, K.: Nichtlineare Gleichungen und Abbildungsgrade. Berlin-Heidelberg-New York: Springer 1974. | DOI | MR | Zbl

[7] Dumortier, F., Roussarie, R.: Étude Locale des Champs de Vecteur à Paramètres. In: Journées Singulières de Dijon, Astérisque 59-60, 1978. | Numdam | MR | Zbl

[8] Guckenheimer, J.: On Quasiperiodic Flow with Three Independent Frequencies. Santa Cruz, Preprint, 1980.

[9] Hirsch, M. W. Pugh, C. C., Snub, M.: Invariant Manifolds. Berlin-Heidelberg-New York: Springer 1977. | MR | Zbl

[10] Marsden, J. E., Mccracken, M.: The Hopf Bifurcation and Its Applications. Berlin-Heidelberg-New York: Springer 1976. | DOI | MR | Zbl

[11] Moser, J.: On invariant Curves of Area-Preserving Mappings of an Annulus. Nachr.Akad. Wiss. Göttingen, Math. Phys. Kl. II, 1-20 (1962). | MR | Zbl

[11a] Moser, J.: On the Theory of Quasiperiodic Motions, Siam Review, 8, II, 145-172 (1966). | DOI | MR | Zbl

[12] Moser, J.: Convergent Series Expansions for Quasi-Periodic Motions. Math. Annalen 169, 136-176 (1967). | DOI | EuDML | MR | Zbl

[13] Palis, J., Takens, F.: Topological Equivalence in Normally Hyperbolic Dynamical Systems. Topology 16, 335-345 (1977). | DOI | MR | Zbl

[14] Pöschel, J.: Differentiable Foliation of Invariant Tori in Hamiltonian Systems. ETH-Zürich, Preprint, 1981.

[15] Takens, F.: Singularities of Vector Fields. Publ. Math. IHES 43, 48-100 (1974). | DOI | EuDML | Numdam | MR | Zbl