@article{AIHPC_1998__15_5_539_0,
author = {Colli, Eduardo},
title = {Infinitely many coexisting strange attractors},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {539--579},
year = {1998},
publisher = {Gauthier-Villars},
volume = {15},
number = {5},
mrnumber = {1643393},
zbl = {0932.37015},
language = {en},
url = {https://www.numdam.org/item/AIHPC_1998__15_5_539_0/}
}
Colli, Eduardo. Infinitely many coexisting strange attractors. Annales de l'I.H.P. Analyse non linéaire, Tome 15 (1998) no. 5, pp. 539-579. https://www.numdam.org/item/AIHPC_1998__15_5_539_0/
[1] and , The dynamics of the Hénon map, Ann. Math., Vol. 133, 1991, pp. 73-169. | Zbl | MR
[2] , Cascades of period doubling of stable codimension one, Thesis IMPA, 1995.
[3] and , Diffeomorphisms with infinitely many strange attractors, J. of Complexity, Vol. 6, 1990, pp. 409-416. | Zbl | MR
[4] , Intersection of thick Cantor sets, Mem. Amer. Math. Soc., Vol. 97, No. 468(2), 1992, pp. 1-119. | Zbl | MR
[5] , Non-density of Axiom A(a) on S2, Proc. A.M.S. Symp. Pure Math., Vol. 14, 1970, pp. 191-202. | Zbl | MR
[6] , Diffeomorphisms with infinitely many sinks, Topology, Vol. 13, 1974, pp. 9-18. | Zbl | MR
[7] , The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms, Publ. Math. I.H.E.S., Vol. 50, 1979, pp. 101-151. | Zbl | MR | Numdam
[8] , and , Bifurcations and stability of families of diffeomorphisms, Publ. Math. I.H.E.S., Vol. 57, 1983, pp. 5-71. | Zbl | MR | Numdam
[9] and , Abundance of strange attractors, Acta Math., Vol. 171, 1993, pp. 1-71. | Zbl | MR
[10] , Sur le problème des trois corps et les equations de la dynamique (Mémoire couronné du prise de S.M. le roi Oscar II de Suède), Acta Math., Vol. 13, 1890, pp. 1-270. | JFM
[11] and , Coexistence and persistence of strange attractors, 1994, to appear. | Zbl | MR
[12] and . Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge University Press, 1993. | Zbl | MR
[13] , Bifurcation to infinitely many sinks, Comm. Math. Phys., Vol. 90, 1983, pp. 433-459. | Zbl | MR
[14] , Local contractions and a theorem of Poincaré, Amer. J. Math., Vol. 79, 1957, pp. 809-824. | Zbl | MR
[15] , On the structure of local homeomorphisms of Euclidean n-space, II, Amer. J. Math., Vol. 80, 1958, pp. 623-631. | Zbl | MR
[16] , Approximating a Hénon-like strange attractor by a homoclinic tangency and an attracting cycle, to appear in Erg. Th. and Dyn. Syst.
[17] , Strange attractors in higher dimensions, Bol. Soc. Bras. Mat., Vol. 24(1), 1993, pp. 13-62. | Zbl | MR
[18] and , Cascades of period doubling bifurcations: a pre-requisite for horseshoes, Bull. A.M.S., Vol. 9, 1983, pp. 319-322. | Zbl | MR





