Delay estimation from noisy time series

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

Volumn 55, Issue 3 SUPPL. A, 1997, Pages

  Ohira, Toru ^a   Sawatari, Ryusuke ^b  

^a SONY COMPUTER SCIENCE LABORATORIES INC   (Japan)

^b KEIO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000416181     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.55.r2077     Document Type: Article

References (25)

1. F. Takens, Lect. Notes Math. 898, 366 (1981).
2. P. Grassberger and I. Procaccia, Physica D 9, 189 (1983); A. Wolf, J. B. Swift, H. L. Swinney, and J. Vastano, ibid. 16, 285 (1985).
3. P. Grassberger and I. Procaccia, Physica D 9, 189 (1983); A. Wolf, J. B. Swift, H. L. Swinney, and J. Vastano, ibid. 16, 285 (1985).
4. M. J. Bünner, M. Popp, Th. Meyer, A. Kittel, and J. Parisi, Phys. Rev. E 54, R3082 (1996).
5. M. Sano and Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985); J. -P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985); T. Tanaka, K. Aihara, and M. Taki, Phys. Rev. E 54, 2122 (1996).
6. M. Sano and Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985); J. -P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985); T. Tanaka, K. Aihara, and M. Taki, Phys. Rev. E 54, 2122 (1996).
7. M. Sano and Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985); J. -P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985); T. Tanaka, K. Aihara, and M. Taki, Phys. Rev. E 54, 2122 (1996).
8. R. Kubo, in 7965 Tokyo Summer Lectures in Theoretical Physics, Part I, Many-Body Theory (Benjamin, New York, 1966), pp. 1-16; Rep. Prog. Phys. 29, 255 (1966).
9. R. Kubo, in 7965 Tokyo Summer Lectures in Theoretical Physics, Part I, Many-Body Theory (Benjamin, New York, 1966), pp. 1-16; Rep. Prog. Phys. 29, 255 (1966).
10. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
11. See, e.g., Y. Okabe, Am. Math. Soc. Transl. 161, 19 (1994).
12. J. Milton and A. Longtin, Vis. Res. 30, 515 (1990).
13. T. Ohira and J. G. Milton, Phys. Rev. E 52, 3277 (1995).
14. C. Eurich and J. G. Milton, Phys. Rev. E 54, 6681 (1996).
15. T. Ohira, Phys. Rev. E 55, R1255 (1997).
16. U. Küchler and B. Mensch, Stochastics Stochastics Rep. 40, 23 (1992).
17. Details will be shown elsewhere. S. Sawatari and T. Ohira (unpublished).
18. M. C. Mackey and L. Glass, Science 197, 287 (1977); A. Longtin and J. Milton, Biol. Cybern. 61, 51 (1989).
19. M. C. Mackey and L. Glass, Science 197, 287 (1977); A. Longtin and J. Milton, Biol. Cybern. 61, 51 (1989).
20. C. M. Marcus and R. M. Westervelt, Phys. Rev. A 39, 347 (1989).
21. E. Villermaux, Phys. Rev. Lett. 75, 4618 (1995); N. Khrus-tova, G. Veser, A. Mikhailov, and R. Imbihl, ibid. 75, 3564 (1995); K. Ikeda and M. Matsumoto, Physica D 29, 223 (1987).
22. E. Villermaux, Phys. Rev. Lett. 75, 4618 (1995); N. Khrus-tova, G. Veser, A. Mikhailov, and R. Imbihl, ibid. 75, 3564 (1995); K. Ikeda and M. Matsumoto, Physica D 29, 223 (1987).
23. E. Villermaux, Phys. Rev. Lett. 75, 4618 (1995); N. Khrus-tova, G. Veser, A. Mikhailov, and R. Imbihl, ibid. 75, 3564 (1995); K. Ikeda and M. Matsumoto, Physica D 29, 223 (1987).
24. J. J. Collins and C. J. DeLuca, Exp. Brain Res. 95, 308 (1993); J. J. Collins and C. J. DeLuca, Phys. Rev. Lett. 73, 764 (1994).
25. J. J. Collins and C. J. DeLuca, Exp. Brain Res. 95, 308 (1993); J. J. Collins and C. J. DeLuca, Phys. Rev. Lett. 73, 764 (1994).