@article{AIHPC_2008__25_3_587_0, author = {Leal, Bladismir}, title = {High dimension diffeomorphisms exhibiting infinitely many strange attractors}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {587--607}, publisher = {Elsevier}, volume = {25}, number = {3}, year = {2008}, doi = {10.1016/j.anihpc.2007.03.002}, mrnumber = {2422080}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2007.03.002/} }
TY - JOUR AU - Leal, Bladismir TI - High dimension diffeomorphisms exhibiting infinitely many strange attractors JO - Annales de l'I.H.P. Analyse non linéaire PY - 2008 SP - 587 EP - 607 VL - 25 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2007.03.002/ DO - 10.1016/j.anihpc.2007.03.002 LA - en ID - AIHPC_2008__25_3_587_0 ER -
%0 Journal Article %A Leal, Bladismir %T High dimension diffeomorphisms exhibiting infinitely many strange attractors %J Annales de l'I.H.P. Analyse non linéaire %D 2008 %P 587-607 %V 25 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2007.03.002/ %R 10.1016/j.anihpc.2007.03.002 %G en %F AIHPC_2008__25_3_587_0
Leal, Bladismir. High dimension diffeomorphisms exhibiting infinitely many strange attractors. Annales de l'I.H.P. Analyse non linéaire, Volume 25 (2008) no. 3, pp. 587-607. doi : 10.1016/j.anihpc.2007.03.002. http://archive.numdam.org/articles/10.1016/j.anihpc.2007.03.002/
[1] The dynamics of the Hénon map, Ann. of Math. 133 (1991) 73-169. | MR | Zbl
, ,[2] Infinitely many coexisting strange attractors, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998) 539-579. | Numdam | MR | Zbl
,[3] A two dimensional mapping with a strange attractor, Comm. Math. Phys. 50 (1976) 69-77. | MR | Zbl
,[4] Abundance of strange attractors, Acta Math. 171 (1993) 1-71. | MR | Zbl
, ,[5] Diffeomorphisms with infinitely many sinks, Topology 13 (1974) 9-18. | MR | Zbl
,[6] The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms, Publ. Math. I.H.E.S. 50 (1979) 101-151. | Numdam | MR | Zbl
,[7] A global view of Dynamics and a conjecture on the denseness of finitude of attractors, Astérisque 261 (2000) 335-347. | Numdam | MR | Zbl
,[8] A global perspective for non-conservative dynamics, Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005) 485-507. | Numdam | MR | Zbl
,[9] Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Cambridge University Press, 1993. | MR | Zbl
, ,[10] High dimension diffeomorphisms displaying infinitely many periodic attractors, Ann. of Math. 140 (1994) 207-250. | MR | Zbl
, ,[11] Coexistence and persistence of infinitely many strange attractors, Ergodic Theory Dynam. Systems 21 (2001) 1511-1523. | MR | Zbl
, ,[12] Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747-817. | MR | Zbl
,[13] On the structure of local homeomorphisms of euclidean n-space - II, Amer. J. Math. 80 (1958) 623-631. | MR | Zbl
,[14] Diffeomorphisms with infinitely many strange attractors, J. Complexity 6 (1990) 409-416. | MR | Zbl
, ,[15] Strange attractors in higher dimensions, Bull. Braz. Math. Soc. 24 (1993) 13-62. | MR | Zbl
,[16] Cascades of period doubling bifurcations a prerequisite for horseshoes, Bull. Amer. Math. Soc. 9 (1983) 319-322. | MR | Zbl
, ,Cited by Sources: