@article{PMIHES_1974__43__47_0, author = {Takens, Floris}, title = {Singularities of vector fields}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {47--100}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {43}, year = {1974}, mrnumber = {339292}, zbl = {0279.58009}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1974__43__47_0/} }
Takens, Floris. Singularities of vector fields. Publications Mathématiques de l'IHÉS, Tome 43 (1974), pp. 47-100. http://archive.numdam.org/item/PMIHES_1974__43__47_0/
[1] Dynamical systems with stable structures, in S. LEFSCHETZ, Contributions to the theory of nonlinear oscillations II, Princeton, Princeton Univ. Press, 1952. | MR | Zbl
,[2] Foundations of Modern Analysis, New York, Acad. Press, 1960. | MR | Zbl
,[3] Trajectories tending to a critical point in 3-space, Ann. of Math., 61 (1955), 140-153. | MR | Zbl
,[4] Homeomorphisms of systems of differential equations, Dokl. Akad. Nauk, 128 (1965). | MR | Zbl
,[5] On the local linearization of differential equations, Proc. A.M.S., 14 (1963), 568-573. | MR | Zbl
,[6] Invariant manifolds (to appear). | Zbl
, and ,[7] Stable manifolds and hyperbolic sets, in Proceedings of the A.M.S. Summer Institute on Global Analysis, Berkeley, Univ. Press, 1967.
and ,[8] The stable, center-stable, center, center-unstable and unstable manifolds. Published as appendix C in R. ABRAHAM and J. ROBBIN, Transversal mappings and flows, New York, Benjamin, 1967. | MR | Zbl
,[9] Singularities of Differentiable Mappings, Notes of Lectures of R. Thom in Bonn (1960). Appeared in Proceedings of Liverpool Singularities, Symposium I, Lecture Notes in Math., 192, Berlin, Springer Verlag, 1971.
,[10] Le théorème de préparation en géométrie différentiable (in Séminaire H. Cartan, 1962-1963), Paris (5e), 1964. | Numdam | Zbl
,[11] Analysis on Real and Complex manifolds, Amsterdam, North-Holland, 1968. | MR | Zbl
,[12] Qualitative theory of differential equations, Princeton, Princeton Univ. Press, 1960. | MR | Zbl
and ,[13] Teoria Geometrica dos Equaçoes diferenciais, Rio de Janeiro, I.M.P.A., 1969.
,[14] Linearization of Normally Hyperbolic Diffeomorphisms and Flows, Inv. Math., 10 (1970), 187-198. | MR | Zbl
and ,[15] A new decision method for elementary algebra, Ann. of Math., 60 (1954), 365-374. | MR | Zbl
,[16] Generic 1-parameter families of flows on 2-manifolds, Publ. math. I.H.E.S., n° 43 (1973), 5-46. | Numdam | Zbl
,[17] On the structure of local homeomorphisms of euclidean n-space-II, Am. J. Math., 80 (1958), 623-631. | MR | Zbl
,[18] A non-stabilizable jet of a singularity of a vector field, to appear in the Proceedings of the Symposium on Dynamical Systems in Salvador (1971). | Zbl
,[19] Stabilité structurelle et morphogenèse, New York, Benjamin, 1972. | MR | Zbl
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