Dynamiques génériques : hyperbolicité et transitivité

Christian Bonatti

Séminaire Bourbaki (2001-2002)

  • Volume: 44, page 225-242
  • ISSN: 0303-1179

How to cite

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Bonatti, Christian. "Dynamiques génériques : hyperbolicité et transitivité." Séminaire Bourbaki 44 (2001-2002): 225-242. <http://eudml.org/doc/110308>.

@article{Bonatti2001-2002,
author = {Bonatti, Christian},
journal = {Séminaire Bourbaki},
keywords = {transitivity; hyperbolic dynamics; Smale's spectral decomposition},
language = {fre},
pages = {225-242},
publisher = {Société Mathématique de France},
title = {Dynamiques génériques : hyperbolicité et transitivité},
url = {http://eudml.org/doc/110308},
volume = {44},
year = {2001-2002},
}

TY - JOUR
AU - Bonatti, Christian
TI - Dynamiques génériques : hyperbolicité et transitivité
JO - Séminaire Bourbaki
PY - 2001-2002
PB - Société Mathématique de France
VL - 44
SP - 225
EP - 242
LA - fre
KW - transitivity; hyperbolic dynamics; Smale's spectral decomposition
UR - http://eudml.org/doc/110308
ER -

References

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  4. [BD2] _, « On maximal transitive sets of generic diffeomorphisms », Publ. Math. Inst. Hautes Études Sci.96 (2002), p. 171-197. Zbl1032.37011MR1985032
  5. [BDP] CH. Bonatti, L.J. Díaz & E. Pujals — « A C1—generic dichotomy for diffeomorphisms : weak forms of hyperbolicity or infinitely many sinks or sources », à paraître aux Annals of Math. Zbl1049.37011
  6. [BV] CH. Bonatti & M. Viana — « SRB for partially hyperbolic attractors : the contracting case », Israel Journal of Math.115 (2000), p. 157-193. Zbl0996.37033MR1749677
  7. [BrPe] M. Brin & YA. Pesin — « Partially hyperbolic dynamical systems », Izv. Acad. Nauk. SSSR1 (1974), p. 177-212. Zbl0309.58017
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  9. [CMP] C. Carballo, C. Morales & M.J.P. Fico — « Homoclinic class for C1- generic vector fields », preprint PUC-Rio, à paraître à Ergod. Th. & Dynam. Systems, 2000. 
  10. [DPU] L.J. Díaz, E. Pujals & R. Ures - « Partial hyperbolicity and robust transitivity », Acta Math.183 (1999), p. 1-43. Zbl0987.37020MR1719547
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  12. [Ha] S. Hayashi — « Connecting invariant manifolds and the solution of the C1- stability and Ω-stability conjectures for flows », Ann. of Math.145 (1997), p. 81-137. Zbl0871.58067
  13. [HPS] M. Hirsch, C. Pugh & M. Shub — Invariant manifolds, Lecture Notes in Math., vol. 583, Springer-Verlag, 1977. Zbl0355.58009MR501173
  14. [Ma1] R. Mañé — « An ergodic closing lemma », Annals of Math.116 (1982), p. 503- 540. Zbl0511.58029MR678479
  15. [Ma2] _, « Contributions to the stability conjecture », Topology17 (1978), p. 386-396. Zbl0405.58035MR516217
  16. [N] S. Newhouse — « Diffeomorphisms with infinitely many sinks », Topology13 (1974), p. 9-18. Zbl0275.58016MR339291
  17. [PT] J. Palis & F. Takens — Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Studies in Advanced Mathematics, vol. 35, Cambridge University Press, 1993. Zbl0790.58014MR1237641
  18. [Pu] C. Pugh — « The closing lemma », Amer. J. Math.89 (1967), p. 956-1009. Zbl0167.21803MR226669
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