@article{AIHPC_1996__13_6_741_0, author = {Moreira, Carlos Gustavo T. de A.}, title = {Stable intersections of {Cantor} sets and homoclinic bifurcations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {741--781}, publisher = {Gauthier-Villars}, volume = {13}, number = {6}, year = {1996}, mrnumber = {1420497}, zbl = {0865.58035}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1996__13_6_741_0/} }
TY - JOUR AU - Moreira, Carlos Gustavo T. de A. TI - Stable intersections of Cantor sets and homoclinic bifurcations JO - Annales de l'I.H.P. Analyse non linéaire PY - 1996 SP - 741 EP - 781 VL - 13 IS - 6 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1996__13_6_741_0/ LA - en ID - AIHPC_1996__13_6_741_0 ER -
%0 Journal Article %A Moreira, Carlos Gustavo T. de A. %T Stable intersections of Cantor sets and homoclinic bifurcations %J Annales de l'I.H.P. Analyse non linéaire %D 1996 %P 741-781 %V 13 %N 6 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1996__13_6_741_0/ %G en %F AIHPC_1996__13_6_741_0
Moreira, Carlos Gustavo T. de A. Stable intersections of Cantor sets and homoclinic bifurcations. Annales de l'I.H.P. Analyse non linéaire, Tome 13 (1996) no. 6, pp. 741-781. http://www.numdam.org/item/AIHPC_1996__13_6_741_0/
[BPV] On Central Cantor Sets with self-arithmetic difference of positive Lebesgue measure, to appear in J. London Math. Soc. | Zbl
, and ,[H] On the sum and product of continued fractions, Annals of Math., Vol. 48, 1947, pp. 966-993. | MR | Zbl
,[MO] On the topological structure of the arithmetic sum of two Cantor sets, Nonlinearity, Vol. 7, 1994, pp. 329-343. | MR | Zbl
and ,[N1] Non density of Axiom A(a) on S2, Proc. A.M.S. Symp. Pure Math., Vol. 14, 1970, pp. 191-202. | MR | Zbl
,[N2] Diffeomorphisms with infinitely many sinks, Topology, Vol. 13, 1974, pp. 9-18. | MR | Zbl
,[N3] The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms, Publ. Math. IHES, Vol. 50, 1979, pp. 101-151. | Numdam | MR | Zbl
,[P] Homoclinic bifurcations, sensitive chaotic dynamics and strange attractors, Dynamical Syst. and Related Topics, World Scientific, 1991, pp. 466-473. | MR
,[PT] Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms, Invent. Math., Vol. 82, 1985, pp. 379-442. | MR | Zbl
and ,[PT1] Hyperbolicity and the creation of homoclinic orbits, Annals of Math., Vol. 125, 1987, pp. 337-374. | MR | Zbl
and ,[PT2] Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations: fractal dimensions and infinitely many attractors, Cambridge Univ. Press, 1992. | MR | Zbl
and ,[PY] Homoclinic Tangencies for Hyperbolic sets of large Hausdorff Dimension Bifurcations, Acta Mathematica, Vol. 172, 1994, pp. 91-136. | MR | Zbl
and ,[S] An example of a regular Cantor set whose difference set is a Cantor set with positive measure, Hokkaido Math. Journal, Vol. XXI (1), 1992, pp. 7-23. | MR | Zbl
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