Infinitely many stochastically stable attractors

Nonlinearity

Volumn 14, Issue 3, 2001, Pages 583-596

  Araújo, Vítor ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035343985     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/3/308     Document Type: Article

References (22)

1. Alves J and Araújo V 2000 Random perturbations of nonuniformly expanding maps CMUP Preprint
2. Alves J, Bonatti C and Viana M 2000 SRB measures for partially hyperbolic systems whose central direction is mostly expanding Invent. Math. 140 351-98
3. Araújo V 2000 Attractors and time averages for random maps Ann. Inst. H Poincaré, Anal. Non Linéaire 17 307-69
4. Benedicks M and Viana M 2001 Random perturbations and statistical properties of some Hénon-like maps, in preparation
5. Bonatti C and Díaz L J 1999 Connections heterocliniques et genericité d'une infinité de puis ou de sources Ann. Sci. Ec. Norm. Super. IV Ser 32, no 1 pp 135-50
6. Bonatti C and Viana M 2000 SRB measures for partially hyperbolic systems whose central direction in mostly contracting Israel J. Math. 115 157-93
7. Bowen R and Ruelle D 1975 The ergodic theory of axiom A flows Invent. Math. 29 181-202
8. Colli E 1998 Infinitely many coexisting strange attractors Ann. Inst. H Poincaré, Anal Non Linéaire 15 no 5 539-79
9. Kifer Y 1998 Ergodic Theory of Random Perturbations (Basel: Birkhäuser)
10. Kifer Y 1988 Random Perturbations of Dynamical Systems (Basel: Birkhäuser)
11. 2 Proc. AMS Symp. Pure Math. 14 191-202
12. Newhouse S 1974 Diffeomorphisms with infinitely many sinks Topology 13 9-18
13. Newhouse S 1979 The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeomorphisms Publ. Math. IHES 50 101-51
14. Palis J and Takens F 1993 Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations (Cambridge Studies in Advanced Mathematics 35) (Cambridge: Cambridge University Press)
15. Pumariño A and Rodriguez J A 1997 Coexistence and Persistence of Strange Attractors (Lecture Notes in Mathematics 1658) (Berlin: Springer)
16. Ruelle D 1976 A measure associated with axiom A attractors Am. J. Math. 98 619-54
17. Shub M 1987 Global Stability of Dynamical Systems (New York: Springer)
18. Sinai Ya 1972 Gibbs measures in ergodic theory Russ. Math. Surv. 27 21-69
19. Takens F 1994 Heteroclinic attractors: time averages and moduli of topological conjugacy Bull. Soc. Bras. Mat. 25 107-20
20. Viana M 1997 Multidimensional nonhyperbolic attractors Publ. Math. IHES 85 63-96
21. Viana M 1998 Dynamics: probabilistic A and geometric perspective Proc ICM, Documenta Mathematica
22. Young L-S 1986 Stochastic stability of hyperbolic attractors Ergod. Theor. Dynam. Syst. 6 311-9