Extended pole placement technique and its applications for targeting unstable periodic orbit

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5358-5365

  Hong, Zhao ^a,b   Yinghai, Wang ^a,b   Zhibin, Zhang ^b  

^a CCAST WORLD LABORATORY   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037933202     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5358     Document Type: Article

References (31)

1. E. Ott, C. Grebogi, and A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)
2. Phys. Rev. Lett.E. OttC. GrebogiA. Yorke64, 2837(E) (1990).
3. W. L. Ditto, S. N. Rauseo, and M. L. Spano, Phys. Rev. Lett. 65, 3211 (1990)
4. Phys. Rev. Lett.E. R. Hunt, 67, 1953 (1991)
5. Phys. Rev. Lett.R. Roy, Jr., T. W. Murphy, T. D. Maier, A. Gills, and E. R. Hunt, 68, 1259 (1992)
6. Phys. Rev. Lett.V. Petrov, M. J. Crowley, and K. Showalter, 72, 2955 (1994)
7. Phys. Rev. Lett.J. Starrett and R. Tagg, 74, 1974 (1994)
8. V. Petrov, V. Gaspar, J. Masare, and K. Showalter, Nature (London) 361, 240 (1993)
9. Nature (London)S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano, and W. L. Ditto, 370, 615 (1994)
10. A. Garfinkel, M. L. Spano, W. L. Ditto, and J. N. Weiss, Science 257, 1230 (1992).SCIEAS
11. F. J. Romeiras, C. Grebogi, E. Ott, and W. P. Dayawansa, Physica D 58, 165 (1992).PDNPDT
12. U. Dressler and G. Nitsche, Phys. Rev. Lett. 68, 1 (1992)
13. P. So and E. Ott, Phys. Rev. E 51, 2955 (1995); PLEEE8
14. Phys. Rev. ER. W. Rollins, P. Parmananda, and P. Sherard, 47, 780 (1993)
15. Phys. Rev. ED. J. Christini, J. J. Collins, and P. S. Linsay, 54, 4824 (1996).
16. H. Zhao, J. Yan, J. Wang, and Y. H. Wang, Phys. Rev. E 53, 299 (1996).PLEEE8
17. T. Carroll, I. Triandaf, I. Schwartz, and L. Pecora, Phys. Rev. A 46, 6189 (1992)
18. Phys. Rev. AI. B. Schwartz and I. Triandaf, 46, 7439 (1992)
19. Phys. Rev. AS. Bielawski, D. Derozier, and P. Glorieux, 47, R2492 (1993)
20. Z. Gills, C. Iwata, R. Roy, I. Schwartz, and I. Triandaf, Phys. Rev. Lett. 69, 3169 (1992).PRLTAO
21. T. Shinbrot, E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 65, 3215 (1990)
22. Phys. Rev. Lett.T. Shinbrot, W. Ditto, C. Grebogi, E. Ott, M. Spano, and J. A. Yorke, 68, 2863 (1992)
23. E. Bollt and J. D. Meiss, Physica D 81, 280 (1995)
24. E. Barreto, E. J. Kostelich, C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. E 51, 4169 (1995); PLEEE8
25. Phys. Rev. EV. N. Chizhevsky and P. Glorieux, 51, R2701 (1995)
26. Phys. Rev. ED. J. Christini and J. J. Collins, 53, R49 (1996).
27. K. Ogata, Control Engineering, 2nd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1990), pp. 782–784.
28. F. Takens, in Dynamical Systems and Turbulence, edited by D. Rand and L. S. Young (Springer-Verlag, Berlin, 1981), p. 230.
29. N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Phys. Rev. Lett. 45, 712 (1980).PRLTAO
30. H. J. Zhang, P. Y. Wang, C. D. Jin, and B. L. Hao, Commun. Theor. Phys. 8, 281 (1987).CTPHDI
31. M. Hénon, Commun. Math. Phys. 50, 69 (1976).