no. 1
Connexions hétéroclines et généricité d'une infinité de puits et de sources
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 32 (1999) no. 1, pp. 135-150 
@article{ASENS_1999_4_32_1_135_0,
     author = {Bonatti, Christian and D{\'\i}az, Lorenzo},
     title = {Connexions h\'et\'eroclines et g\'en\'ericit\'e d'une infinit\'e de puits et de sources},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {135--150},
     year = {1999},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 32},
     number = {1},
     doi = {10.1016/s0012-9593(99)80012-3},
     mrnumber = {2000e:37015},
     zbl = {0944.37012},
     language = {fr},
     url = {https://www.numdam.org/articles/10.1016/s0012-9593(99)80012-3/}
}
TY  - JOUR
AU  - Bonatti, Christian
AU  - Díaz, Lorenzo
TI  - Connexions hétéroclines et généricité d'une infinité de puits et de sources
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1999
SP  - 135
EP  - 150
VL  - 32
IS  - 1
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/s0012-9593(99)80012-3/
DO  - 10.1016/s0012-9593(99)80012-3
LA  - fr
ID  - ASENS_1999_4_32_1_135_0
ER  - 
%0 Journal Article
%A Bonatti, Christian
%A Díaz, Lorenzo
%T Connexions hétéroclines et généricité d'une infinité de puits et de sources
%J Annales scientifiques de l'École Normale Supérieure
%D 1999
%P 135-150
%V 32
%N 1
%I Elsevier
%U https://www.numdam.org/articles/10.1016/s0012-9593(99)80012-3/
%R 10.1016/s0012-9593(99)80012-3
%G fr
%F ASENS_1999_4_32_1_135_0
Bonatti, Christian; Díaz, Lorenzo. Connexions hétéroclines et généricité d'une infinité de puits et de sources. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 32 (1999) no. 1, pp. 135-150. doi: 10.1016/s0012-9593(99)80012-3

[AS] R. Abraham et S. Smale, Nongenericity of &Ω-stability, Global Analysis I, Proc. Symp. Pure Math. A.M.S., 14, p. 5-8, 1968. | Zbl | MR

[BD] R. Ch. Bonatti et L. J. Díaz, Persistence of transitive diffeomorphims, Ann. Math., 143, p. 367-396, 1995.

[BV] R. Ch. Bonatti et M. Viana, SRB measures for partially hyperbolic attractors : the contracting case, à paraître dans Israel J. of Math.

[D] R. L. J. Díaz, Robust nonhyperbolic dynamics at heterodimensional cycles, Erg. Th. and Dyn. Sys., 15, p. 291-315, 1995. | Zbl

[DPU] R. L. J. Díaz, E. Pujals et R. Ures, Partial hyperbolicity and robust transitivity, prepublication PUC-Rio 1998.

[F] J. Franks, Necessary conditions for the stability of diffeomorphisms, Trans. A.M.S., 158, p. 301-308, 1971. | Zbl | MR

[H] R. S. Hayashi, Connecting invariant manifolds and the solution of the C1-stability and &Ω-stability conjectures for flows, Ann. of Math., 145, p. 81-137, 1997. | Zbl

[HPS] R. M. Hirsch, C. Pugh et M. Shub, Invariant manifolds, Lecture Notes in Math., p. 583, Springer Verlag, 1977. | Zbl

[M1] R. R. Mañé, Contributions to the C1-stability conjecture, Topology, 17, p. 386-396, 1978. | Zbl | MR

[M2] R. R. Mañé, An ergodic closing lemma, Ann. Math., 116, p. 541-558, 1982. | Zbl | MR

[N1] R. S. Newhouse, Diffeomorphisms with infinitely many sinks, Topology, 13, p. 9-18, 1974. | Zbl | MR

[N2] R. S. Newhouse, The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms, Publ. Math. IHES, 50, p. 101-151, 1979. | Zbl | MR | Numdam

[PT] R. J. Palis et F. Takens, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Studies in Advanced Mathematics, p. 35, 1993. | Zbl | MR

[PV] R. J. Palis et M. Viana, High dimensional diffeomorphisms displaying infinitely many sinks, Ann. of Math., 140, p. 207-250, 1994. | Zbl

[R] R. N. Romero, Persistence of homoclinic tangencies in higher dimension, Erg. Th. and Dyn. Sys., 15, p. 735-759, 1995. | Zbl | MR

[Si1] R. C. Simon, A 3-dimensional Abrahame-Smale example Proc. A.M.S. vol 34 (2), p. 629-630 1972. | Zbl

[Si2] R. C. Simon, On a classification of a Baire set of diffeomorphisms Bull. A.M.S. vol 77 (5), p. 783-787, 1971. | Zbl | MR

[S] R. S. Smale, Differentiable dynamical systems, Bull. A.M.S., 73, p. 147-817, 1967. | MR

[U] R. R. Ures, Abundance of hyperbolicity in the C1-topology, Ann. Scient. École Norm. Sup. Paris, 4e série, 28, p. 747-760, 1995. | Zbl | MR | Numdam

[YA] R. J. A. Yorke et K. T. Alligood, Cascades of period doubling bifurcations : a pre-requisite for horseshoes, Bull. A.M.S., 9, p. 319-322, 1983. | Zbl

Cité par Sources :