The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 101-151 
@article{PMIHES_1979__50__101_0,
     author = {Newhouse, Sheldon E.},
     title = {The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {101--151},
     year = {1979},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {50},
     mrnumber = {82e:58067},
     zbl = {0445.58022},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1979__50__101_0/}
}
TY  - JOUR
AU  - Newhouse, Sheldon E.
TI  - The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
JO  - Publications Mathématiques de l'IHÉS
PY  - 1979
SP  - 101
EP  - 151
VL  - 50
PB  - Institut des Hautes Etudes Scientifiques
UR  - https://www.numdam.org/item/PMIHES_1979__50__101_0/
LA  - en
ID  - PMIHES_1979__50__101_0
ER  - 
%0 Journal Article
%A Newhouse, Sheldon E.
%T The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
%J Publications Mathématiques de l'IHÉS
%D 1979
%P 101-151
%V 50
%I Institut des Hautes Etudes Scientifiques
%U https://www.numdam.org/item/PMIHES_1979__50__101_0/
%G en
%F PMIHES_1979__50__101_0
Newhouse, Sheldon E. The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms. Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 101-151. https://www.numdam.org/item/PMIHES_1979__50__101_0/

[1] R. Abraham and S. Smale, Non-genericity of Ω-stability, Proc. A.M.S. Symp. in Pure Math., 14 (1970), 5-9. | Zbl | MR

[2] D. Anosov, Geodesic flows on closed Riemann manifolds with negative curvature, Proc. Steklov Inst. of Math., n° 90 (1967). | Zbl | MR

[3] R. Bowen, Topological entropy and Axiom A, Proc. A.M.S. Symp. in Pure Math., 14 (1970), 23-42. | Zbl | MR

[4] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., 470, Berlin - Heidelberg - New York, Springer-Verlag, 1975. | Zbl | MR

[5] R. Bowen, A Horseshoe with positive measure, Inventiones Math., 29 (1975), 203-204. | Zbl | MR

[6] R. Bowen and O. Landford, Zeta functions of restrictions of the shift transformations, Proc. A.M.S. Symp. Pure Math., 14 (1970), 43-51. | Zbl | MR

[7] P. Fatou, Sur les équations fonctionnelles, Bull. Soc. Math. France, 47 (1919), 161-271, et 48 (1920), 33-94 et 208-314. | JFM | Numdam

[8] M. Hénon, A two-dimensional mapping with a strange attractor, Comm. Math. Phys., 50 (1976), 69-78. | Zbl | MR

[9] M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. A.M.S. Symp. in Pure Math., 14 (1970), 133-163. | Zbl | MR

[10] M. Hirsch, J. Palis, C. Pugh and M. Shub, Neighborhoods of hyperbolic sets, Inventiones Math., 9 (1970), 121-134. | Zbl | MR

[11] M. Hirsch, C. Pugh and M. Shub, Invariant manifolds, Lecture Notes in Math., 583, Berlin - Heidelberg - New York, Springer Verlag, 1978. | Zbl | MR

[12] C. Hayashi and Y. Ueda, Behavior of solutions for certain types of non-linear differential equations of the second order, Non-linear Vibration Problems, Zagadnienia Drgan Nieliniowych, 14 (1973), 341-351. | Zbl | MR

[13] J. Moser, Stable and random motions in dynamical systems, Ann. of Math. Studies, 77, Princeton, N.J., Princeton Uñiv. Press, 1973. | Zbl | MR

[14] S. Newhouse, Non-density of Axiom A(a) on Sr, Proc. A.M.S. Symp. in Pure Math., 14 (1970), 191-203. | Zbl | MR

[15] S. Newhouse, Hyperbolic limit sets, Trans. Amer. Math. Soc., 167 (1972), 125-150. | Zbl | MR

[16] S. Newhouse, Diffeomorphisms with infinitely many sinks, Topology, 13 (1974), 9-18. | Zbl | MR

[16 a] S. Newhouse, Lectures on Dynamical Systems, C.I.M.E. Summer School in Dynamical Systems, 1978. | Zbl

[17] S. Newhouse, Conservative systems and two problems of Smale, Lecture Notes in Math., 525, Berlin - Heidelberg - New York, Springer Verlag, 1975. | Zbl

[18] S. Newhouse and J. Palis, Bifurcations of Morse-Smale dynamical systems, Dynamical Systems, ed. M. Peixoto, N.Y., Academic Press, 1973, 303-366. | Zbl | MR

[19] S. Newhouse and J. Palis, Cycles and Bifurcations theory, Astérisque, 31, 1976, 43-141. | Zbl | MR | Numdam

[20] M. Shub and D. Sullivan, Homology theory and dynamical systems, Topology, 14 (1975), 109-132. | Zbl | MR

[21] C. Simon, Thesis, Northwestern University, 1970.

[22] S. Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, Princeton, 1965, 63-80. | Zbl | MR

[23] S. Smale, Differentiable dynamical systems, Bull. A.M.S., 73 (1967), 747-817. | Zbl | MR

[24] S. Smale, Stability and isotopy in discrete dynamical systems, Dynamical systems, ed. M. Peixoto, N.Y., Academic Press, 1973, 527-530. | Zbl | MR

[25] S. Smale, Notes on dynamical systems, Proc. A.M.S. Symp. in Pure Math., 14 (1970), 277-289. | Zbl | MR

[26] P. Plikin, Sources and sinks in Axiom A Diffeomorphisms on surfaces, Mat. Sbornik, 94 (136), n° 2 (6), 1974, 243-264 (Russian). | Zbl