Recurrence quantification analysis and principal components in the detection of short complex signals

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 237, Issue 3, 1998, Pages 131-135

  Zbilut, Joseph P ^a   Giuliani, Alessandro ^b   Webber Jr , Charles L ^c  

^a RUSH UNIVERSITY   (United States)

^b ISTITUTO SUPERIORE DI SANITÀ   (Italy)

^c LOYOLA UNIVERSITY CHICAGO   (United States)

Author keywords

Chaos; Complexity; Nonlinear dynamics; Principal components; Recurrence plot; Recurrence quantification analysis

Indexed keywords

CHAOS THEORY; DYNAMICS; MULTIVARIABLE CONTROL SYSTEMS; SIGNAL DETECTION;

COMPLEX SIGNAL; COMPLEXITY; DETERMINISTIC SIGNALS; PRINCIPAL COMPONENTS; PRINCIPAL COMPONENTS ANALYSIS; PROBABILISTIC EVALUATION; RECURRENCE PLOT; RECURRENCE QUANTIFICATION ANALYSIS;

PRINCIPAL COMPONENT ANALYSIS;

EID: 0042357254     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00843-8     Document Type: Article

References (29)

1. J. Gao, Physica D 106 (1997) 29.
2. S. Pueyo, Physica D 106 (1997) 57.
3. D.T. Kaplan, Physica D 73 (1994) 38.
4. J.B. Gao, Z.M. Zheng, Phys. Rev. E 49 (1994) 3807.
5. J.-P. Eckmann, S.O. Kamphorst, D. Ruelle, Europhys. Lett. 4 (1987) 973.
6. J.P. Zbilut, in: Rhythms in Physiological Systems, eds. H. Haken, H.-P. Koepchen (Springer, Berlin, 1991) p. 139.
7. C.L. Webber, Jr., in: Rhythms in Physiological Systems, eds. H. Haken, H.-P. Koepchen (Springer, Berlin, 1991) p. 177.
8. J.P. Zbilut, C.L. Webber, Jr., Phys. Lett. A 171 (1992) 199.
9. C.L. Webber, Jr., J.P. Zbilut, J. Appl. Physiol. 76 (1994) 965.
10. A. Giuliani, P. Lo Giudice, A.M. Mancini, G. Quatrini, L. Pacifici, C.L. Webber, Jr., M. Zak, J.P. Zbilut, Biol. Cybern. 74 (1996) 181.
11. L.L. Trulla, A. Giuliani, J.P. Zbilut, C.L. Webber, Jr., Phys. Lett. A 223 (1996) 225.
12. M. Zak, J.P. Zbilut, R.E. Meyers, From Instability to Intelligence: Complexity and Predictability in Nonlinear Dynamics, Lecture notes in physics: New series m 49: monographs (Springer, Berlin, 1997).
13. P. Faure, H. Korn, Proc. Nat. Acad. Sci. USA 94 (1997) 6505.
14. A. Giuliani, C. Manetti, Phys. Rev. E 53 (1996) 6336.
15. D. Mestivier, N.P. Chau, X. Chanudet, B. Bauduceau, P. Larroque, Am. J. Physiol. HCP 41 (1997) H1094.
16. F. Orsucci, ed., The Complex Matters of Mind (World Scientific, Singapore, to be published).
17. All computations for PCA and DA were carried out in SYSTAT for Windows: Statistics, Version 5 Edition (Systat, Evanston, IL, 1992).
18. I.T. Jolliffe, Principal Component Analysis (Springer, Berlin, 1986).
19. L. Lebart, A. Morineau, K.M. Warwick, Multivariate Descriptive Statistical Analysis (Wiley, New York, 1984).
20. D.J. Bartholomew, Biometrika 71 (1984) 221.
21. P. Baldi, K. Hornik, Neural Networks 2 (1989) 53.
22. E.S. Soofi, J. Am. Stat. Assoc. 89 (1994) 1243.
23. M. Ding, C. Grebogi, E. Ott, T. Sauer, J.A. Yorke, Physica D 69 (1993) 404.
24. P. Grassberger, T. Schreiber, C. Schaffrath, Int. J. Bifurc. Chaos 1 (1991) 527.
25. H.-O. Peitgen, H. Jurgens, D. Saupe, Chaos and Fractals (Springer, New York, 1992) p. 706.
26. Internet resource at http://www.fourmilab.ch.
27. H.-O. Peitgen, H. Jurgens, D. Saupe, Chaos and Fractals (Springer, New York, 1992) p. 333.
28. S.C. Phatak, S.S. Rao, Phys. Rev. E 51 (1995) 3670.
29. P. Grassberger, Helv. Phys. Acta 62 (1989) 498.