@article{ASNSP_1963_3_17_1-2_97_0, author = {Smale, S.}, title = {Stable manifolds for differential equations and diffeomorphisms}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {97--116}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 17}, number = {1-2}, year = {1963}, mrnumber = {165537}, zbl = {0113.29702}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1963_3_17_1-2_97_0/} }
TY - JOUR AU - Smale, S. TI - Stable manifolds for differential equations and diffeomorphisms JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1963 SP - 97 EP - 116 VL - 17 IS - 1-2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1963_3_17_1-2_97_0/ LA - en ID - ASNSP_1963_3_17_1-2_97_0 ER -
%0 Journal Article %A Smale, S. %T Stable manifolds for differential equations and diffeomorphisms %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1963 %P 97-116 %V 17 %N 1-2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1963_3_17_1-2_97_0/ %G en %F ASNSP_1963_3_17_1-2_97_0
Smale, S. Stable manifolds for differential equations and diffeomorphisms. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 17 (1963) no. 1-2, pp. 97-116. http://archive.numdam.org/item/ASNSP_1963_3_17_1-2_97_0/
1 Collected Mathematical Papers New York 1950. | Zbl
,2 Theory of Ordinary differential equations, McGraw-Hill, New York 1955. | MR | Zbl
and ,3 An estimate for the number of singular points of a dynamical system defined on a manifold, Amer. Math. Soc. Translation No. 68, 1952. | MR
,4 On local homeomorphisms of Euclidean space, Proceedings of the Symposium on Ordinary Differential Equations, Mexico City, 1959. | MR | Zbl
,5 Differential Equations, Geometric Theory, New York 1957. | MR | Zbl
,6 Invariant manifolds near an invariant point of unstable type, Amer. Journal Math. Vol. 60 (1938) pp. 577-587. | JFM | MR | Zbl
,7 Local Triviality of the restriction map for embeddings, Comm. Math Helv. Vol. 34 (1960) pp. 305-312. | MR | Zbl
,8 On structural stabilily Ann. of Math. Vol. 69 (1959) pp. 199-222. | MR | Zbl
,9 Structural stability on 2-dimensional manifolds, Topology Vol. 2 (1962) pp. 101-121. | MR | Zbl
,10 On the behavior of the integral curves of a system of differential equations in the neighbourhood of singular point. Rec. Math. (Mat. Sbornik) N. S. Vol. 41-(1934) pp. 107-155.
,11 Sur certaines propriétés topologiques des projectoires de8 systemes dynamiques, Acad. Roy. Belg. Cl. Sci. Mem. Coll. 8° 27 N° 9, (1952). | MR | Zbl
,12 Morse inequalities for a dynamical system, Bull Amer. Math. Soc. Vol. 48 (1940) pp. 883-890. | MR | Zbl
,13 On Gradient Dynamical Systems, Ann. of Math. Vol. 74 (1961) pp. 199-206. | MR | Zbl
,14 Local contractions and a theorem of Poincaré, Amer. Journ. Math, Vol. 79 (1957) pp. 809-824. | MR | Zbl
,15 Sur une partition en cellules associee à une function sur une variété, C. R. Acad. Sci. Paris Vol. 228 (1949) pp. 973-975. | MR | Zbl
,16 Quelques propriétés globoles des variétés differentiables, Comm. Math. Helv., 28 (1954), pp. 17-86. | MR | Zbl
,17 Transversality of manifolds of mappings to appear.
,18 Structurally stable differential systems, Ann. of Math. Vol. 73 (1961) pp. 1-19. | MR | Zbl
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