There are no C1-stable intersections of regular Cantor sets

Acta Mathematica

Volumn 206, Issue 2, 2011, Pages 311-323

  Moreira, Carlos Gustavo ^a  

^a IMPA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79958795117     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11511-011-0064-0     Document Type: Article

References (6)

1. Moreira, C. G., Stable intersections of Cantor sets and homoclinic bifurcations. Ann. Inst. H. Poincaré Anal. Non Linéaire, 13 (1996), 741-781.
2. Moreira, C. G. & Yoccoz, J. C., Stable intersections of regular Cantor sets with large Hausdorff dimensions. Ann. of Math., 154 (2001), 45-96.
3. - Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale. Ann. Sci. Éc. Norm. Supér., 43 (2010), 1-68.
4. Newhouse, S. E., The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms. Inst. Hautes Études Sci. Publ. Math., (1979), 101-151.
5. Palis, J. & Takens, F., Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations. Cambridge Studies in Advanced Mathematics, 35. Cambridge University Press, Cambridge, 1993.
6. 1 topology. Ann. Sci. École Norm. Sup., 28 (1995), 747-760.