Symbolic approach for measuring temporal "irreversibility"

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

Volumn 62, Issue 2 B, 2000, Pages 1912-1921

  Daw, C S ^a   Finney, C E A ^b   Kennel, M B ^c  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b University of Tennessee Knoxville   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ENCODING (SYMBOLS); MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DISTRIBUTIONS; TIME SERIES ANALYSIS;

SYMBOLIC METHOD; TEMPORAL IRREVERSIBILITY;

INVERSE PROBLEMS;

EID: 0034239350     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.62.1912     Document Type: Article

References (31)

1. G. Weiss, J. Appl. Probab. 12, 831 (1975).
2. Y. Pomeau, J. Phys. (France) 43, 859 (1982).
3. A.J. Lawrance, Int. Stat. Rev. 59, 67 (1991).
4. P. Rothman, J. Appl. Econometrics 7, 187 (1992).
5. G.B. Giannakis and M.K. Tsatsanis, IEEE Trans. Signal Process. 42, 3460 (1994).
6. C. Diks, J.C. van Houwelingen, F. Takens, and J. DeGoede, Phys. Lett. A 201, 221 (1995).
7. J.B. Ramsey and P. Rothman, J. Money Credit Banking 28, 1 (1996).
8. L. Stone, G. Landan, and R.M. May, Proc. R. Soc. London, Ser. B 263, 1509 (1996).
9. B.P.T. Hoekstra, C.G.H. Diks, M.A. Allessie, and J. DeGoede, Chaos 7, 430 (1997).
10. M.J. van der Heyden, C.G.C. Diks, B.P.T. Hoekstra, and J. DeGoede, Physica D 117, 299 (1998).
11. J.B. Green Jr., C.S. Daw, J.S. Armfield, C.E.A. Finney, R.M. Wagner, J.A. Drallmeier, M.B. Kennel, and P. Durbetaki, Society of Automotive Engineers Technical Paper No. 1999-01-0221 (1999).
12. J.P. Crutchfield and N.H. Packard, Physica D 7, 201 (1983).
13. J.P. Crutchfield and K. Young, Phys. Rev. Lett. 63, 105 (1989).
14. A.B. Rechester and R.B. White, Phys. Lett. A 156, 419 (1991); 158, 51 (1991).
15. A.B. Rechester and R.B. White, Phys. Lett. A 156, 419 (1991); 158, 51 (1991).
16. X.Z. Tang, E.R. Tracy, A.D. Boozer, A. deBrauw, and R. Brown, Phys. Rev. E 51, 3871 (1995).
17. U. Schwarz, O. Benz, J. Kurths, and A. Witt, Astron. Astrophys. 277, 215 (1995).
18. J. Kurths, A. Voss, P. Saparin, A. Wirt, H.J. Kleiner, and N. Wessel, Chaos 5, 88 (1995).
19. M. Lehrman, A.B. Rechester, and R.B. White, Phys. Rev. Lett. 78, 54 (1997).
20. X.Z. Tang and E.R. Tracy, Chaos 8, 688 (1998).
21. C.E.A. Finney, J.B. Green, Jr., and C.S. Daw, Society of Automotive Engineers Technical Paper No. 980624 (1998).
22. C.S. Daw, M.B. Kennel, C.E.A. Finney, and F.T. Connolly, Phys. Rev. E 57, 2811 (1998).
23. H. Voss and J. Kurths, Phys. Rev. E 58, 1155 (1998).
24. T. Schreiber, Phys. Rev. Lett. 78, 843 (1997).
25. M.B. Kennel, Phys. Rev. E 56, 316 (1997).
26. A. Witt, J. Kurths, and A. Pikovsky, Phys. Rev. E 58, 1800 (1998).
27. J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, and J.D. Farmer, Physica D 58, 77 (1992).
28. T. Schreiber and A. Schmitz, Phys. Rev. Lett. 77, 635 (1996).
29. M.B. Kennel and A. Mees, Phys. Rev. E 61, 2563 (2000).
30. H.D.I. Abarbanel and M.B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
31. R.M. Wagner, J.A. Drallmeier, and C.S. Daw (unpublished).