On the structure of strange non-chaotic attractors in pinched skew products

Ergodic Theory and Dynamical Systems

Volumn 27, Issue 2, 2007, Pages 493-510

  Jäger, Tobias H ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947270402     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385706000745     Document Type: Article

References (12)

1. [BO96] Z. I. Bezhaeva and V. I. Oseledets. An example of a strange non-chaotic attractor. Funct. Anal. Appl. 30(4) (1996), 223-229.
2. [dMvS93] W. de Melo and S. van Strien. One-dimensional Dynamics. Springer, Berlin, 1993.
3. [Gle02] P. Glendinning. Global attractors of pinched skew products. Dyn. Syst. 17 (2002), 287-294.
4. [GOPY84] C. Grebogi, E. Ott, S. Pelikan and J. A. Yorke. Strange attractors that are not chaotic. Physica D 13 (1984), 261-268.
5. [Her83] M. R. Herman. Une méthode pour minorer les exposants de Lyapunov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2. Comment. Math. Helv. 58 (1983), 453-502.
6. [Jäg03] T. Jäger. Quasiperiodically forced interval maps with negative Schwarzian derivative. Nonlinearity 16(4) (2003), 1239-1255.
7. [Kel96] G. Keller. A note on strange nonchaotic attractors. Fund. Math. 151(2) (1996), 139-148.
8. [KH97] A. Katok and B. Hasselblatt. Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, Cambridge, 1997.
9. [PNR01] A. Prasad, S. S. Negi and R. Ramaswamy. Strange nonchaotic attractors. Internat. J. Bifur. Chaos 11(2) (2001), 291-309.
10. [SS00] J. Stark and R. Sturman. Semi-uniform ergodic theorems and applications to forced systems. Nonlinearity 13(1) (2000), 113-143.
11. [Sta99] J. Stark. Regularity of invariant graphs for forced systems. Ergod. Th. & Dynam. Sys. 19(1) (1999), 155-199.
12. [Sta03] J. Stark. Transitive sets for quasiperiodically forced monotone maps. Dyn. Sys. 18(4) (2003), 351-364.