Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors

Physical Review Letters

Volumn 81, Issue 20, 1998, Pages 4349-4352

  Diakonos, Fotis K ^a   Schmelcher, Peter ^b   Biham, Ofer ^c  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF HEIDELBERG   (Germany)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001550469     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.81.4349     Document Type: Article

References (24)

1. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. A 37, 1711 (1988).
2. P. Cvitanović, G. H. Gunaratne, and I. Procaccia, Phys. Rev. A 38, 1503 (1988).
3. I. B. Schwartz and I. Triandaf, Phys. Rev. A 46, 7439 (1992).
4. H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. Sh. Tsimring, Rev. Mod. Phys. 65, 1331 (1993).
5. R. Badii, E. Brun, M. Finardi, L. Flepp, R. Holzner, J. Parisi, C. Reyl, and J. Simonet, Rev. Mod. Phys. 66, 1389 (1994).
6. P. So, E. Ott, S. J. Schiff, D. T. Kaplan, T. Sauer, and C. Grebogi, Phys. Rev. Lett. 76, 4705 (1996).
7. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
8. P. Cvitanović, Phys. Rev. Lett. 61, 2729 (1988).
9. R. Artuso, E. Aurell, and P. Cvitanović, Nonlinearity 3, 325 (1990);
10. R. Artuso, E. Aurell, and P. Cvitanović, Nonlinearity 3, 361 (1990).
11. O. Biham and W. Wenzel, Phys. Rev. Lett. 63, 819 (1989).
12. M. Hénon, Commun. Math. Phys. 50, 69 (1976).
13. O. Biham and W. Wenzel, Phys. Rev. A 42, 4639 (1990).
14. W. Wenzel, O. Biham, and C. Jayaprakash, Phys. Rev. A 43, 6550 (1991).
15. O. Biham and M. Kvale, Phys. Rev. A 46, 6334 (1992).
16. P. Grassberger, H. Kantz, and U. Moenig, J. Phys. A 22, 5217 (1989).
17. C. P. Dettmann and G. P. Morriss, Phys. Rev. Lett. 78, 4201 (1997).
18. C. P. Dettmann and P. Cvitanović, Phys. Rev. E 56, 6687 (1997).
19. P. Dahlqvist and G. Russberg, J. Phys. A 24, 4763 (1991).
20. P. Schmelcher and F. K. Diakonos, Phys. Rev. Lett. 78, 4733 (1997);
21. P. Schmelcher, F. K. Diakonos Phys. Rev. E 57, 2739 (1998).
22. G. K. Kostopoulos, Digital Engineering (John Wiley and Sons, New York, 1975).
23. M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond, World Scientific Lecture Notes in Physics (World Scientific, Singapore, 1987).
24. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi, Science 220, 671 (1983)