@article{PMIHES_1989__70__103_0, author = {Dias Carneiro, M. J. and Palis, Jacob}, title = {Bifurcations and global stability of families of gradients}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {103--168}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {70}, year = {1989}, mrnumber = {1067381}, zbl = {0706.58042}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1989__70__103_0/} }
TY - JOUR AU - Dias Carneiro, M. J. AU - Palis, Jacob TI - Bifurcations and global stability of families of gradients JO - Publications Mathématiques de l'IHÉS PY - 1989 SP - 103 EP - 168 VL - 70 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1989__70__103_0/ LA - en ID - PMIHES_1989__70__103_0 ER -
%0 Journal Article %A Dias Carneiro, M. J. %A Palis, Jacob %T Bifurcations and global stability of families of gradients %J Publications Mathématiques de l'IHÉS %D 1989 %P 103-168 %V 70 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1989__70__103_0/ %G en %F PMIHES_1989__70__103_0
Dias Carneiro, M. J.; Palis, Jacob. Bifurcations and global stability of families of gradients. Publications Mathématiques de l'IHÉS, Tome 70 (1989), pp. 103-168. http://www.numdam.org/item/PMIHES_1989__70__103_0/
[1] Singularities of differentiable maps, vol. I, Birkhäuser, 1985. | MR
, , ,[2] Differentiable germs and catastrophes, Cambridge University Press, 1975. | Zbl
,[3] Bifurcations and catastrophes, Dynamical Systems, Acad. Press, 1973, 95-109. | MR | Zbl
,[4] Local bifurcations of gradient vector fields, Functional Analysis and Appl., 20, 3 (1986), 250-252. | MR | Zbl
,[5] C1-equivalence of functions near isolated critical points, in Symp. on Infinite Dim. Topology, Ann. of Math. Studies, 69, Princeton University Press, 1972, 199-218. | MR | Zbl
,[6] Stability of parametrized families of vector fields, in Dynamical Systems and Bifurcation Theory, Pitman Research Notes in Math. Series, 160 (1987), 121-214. | MR | Zbl
,[7] Singularities of smooth functions and maps, Lecture Notes Series, 58, London Math. Society, 1982. | MR | Zbl
,[8] Déploiements versels des applications différentiables et classification des applications stables, in Lecture Notes in Math., 535, Springer-Verlag, 1975, 1-44. | MR | Zbl
,[9] Finitely determined maps germs, Publ. Math. I.H.E.S., 35 (1968), 127-156. | Numdam | Zbl
,[10] Bifurcation of periodic solutions into invariant tori : the work of Ruelle and Takens, in Nonlinear Problems in the Physical Sciences and Biology, Lecture Notes in Math., 322, Springer-Verlag, 1973, 159-192. | Zbl
,[11] Stable families of diffeomorphisms, Publ. Math. I.H.E.S., 57 (1983), 5-71. | Numdam | MR | Zbl
, and ,[12] Local triviality of the restriction map for embeddings, Comm. Math. Helvet., 34 (1962), 305-312. | MR | Zbl
,[13] Morse theory on Hilbert manifolds, Topology, 2 (1963), 299-340. | MR | Zbl
,[14] On Morse-Smale dynamical systems, Topology, 8 (1969), 385-405. | MR | Zbl
,[15] Stability of parametrized families of gradient vector fields, Annals of Math., 118 (1983), 383-421. | MR | Zbl
and ,[16] Structural stability theorems, in Global Analysis Proceedings Symp. Pure Math., 14, A.M.S., 1970, 223-231. | MR | Zbl
and ,[17] On the structure of local homeomorphisms of euclidean space II, Amer. Journal of Math., 80 (1958), 623-631. | MR | Zbl
,[18] Moduli of stability for gradients, in Singularities and Dynamical Systems, Mathematics Studies, 103, North-Holland, 1985, 69-80. | MR | Zbl
,[19] Singularities of gradient vector fields and moduli, in Singularities and Dynamical Systems, Mathematics Studies, 103, North-Holland, 1985, 81-88. | MR | Zbl
,[20] Partially hyperbolic fixed points, Topology, 10 (1971), 133-147. | MR | Zbl
,[21] Stabilité structurelle et morphogenèse, Benjamin, 1972. | MR | Zbl
,[22] Bifurcations of gradient vector fields, Ph. D. Thesis, Groningen, 1983. | Zbl
,[23] Global stability of generic two-parameter families of gradients on three manifolds, in Dynamical Systems and Bifurcations, Lecture Notes in Math., 1125, Springer-Verlag, 1985, 107-129. | MR | Zbl
,[24] The Cp-preparation theorem, Cp-unfoldings and applications, Report ZW-8013, Groningen, 1981.
,