Chaotic itinerancy based on attractors of one-dimensional maps

Chaos

Volumn 13, Issue 3, 2003, Pages 947-952

  Sauer, Timothy ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141790029     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1582332     Document Type: Article

References (17)

1. K. Kaneko, Physica D 41, 137 (1990).
2. I. Tsuda, World Futures 32, 167 (1990).
3. T. Sauer, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 79, 59 (1997).
4. C. Schroer, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 81, 1397 (1998).
5. V. Anishchenko, T. Vadivasova, A. Kopeikin, J. Kurths, and G. Strelkova, Phys. Rev. Lett. 87, 054101 (2001).
6. L. Arnold, Random Dynamical Systems (Springer, Berlin, 1998).
7. S. Dawson, C. Grebogi, T. Sauer, and J. A. Yorke. Phys. Rev. Lett. 73, 1927 (1994).
8. J. C. Alexander, J. A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992).
9. E. Ott and J. C. Sommerer, Phys. Lett. A 188, 38 (1994)
10. P. Ashwin, J. Buescu, and I. N. Stewart, ibid. 193, 126 (1994)
11. S. Venkataramani, B. Hunt, and E. Ott, Phys. Rev. E 54, 1346 (1996).
12. T. Sauer, Phys. Rev. E 65, 036220 (2002).
13. C. Grebogi, S. Hammel, and J. Yorke, Bull. Am. Math. Soc. 19, 465 (1988)
14. C. Grebogi, S. Hammel, J. A. Yorke, and T. Sauer, Phys. Rev. Lett. 65, 1527 (1990)
15. S-N. Chow and K. Palmer, J. Dyn. Diff. Eqns. 3, 361 (1991)
16. J. M. Sanz-Serna and S. Larsson, Appl. Numer. Math. 13, 181 (1993)
17. W. Hayes, Phys. Rev, Lett. 90, 054104 (2003)