Symbolic dynamics analysis of nonstationary data from a model of a magnetic system with solitons

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

Volumn 60, Issue 4, 1999, Pages 3973-3981

  Buchner, T ^a   Zebrowski J J ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

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ARTICLE;

EID: 0006946968     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.3973     Document Type: Article

References (33)

1. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, New York, 1993).
2. M. Casdagli, Physica D 108, 12 (1997)
3. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
4. C. Amitrano and R. S. Berry, Phys. Rev. Lett. 68, 729 (1992).
5. B-L. Hao, Elementary Symbolic Dynamics and Chaos in Dissipative Systems (World Scientific Publishing, Singapore, 1989).
6. A. Voss, J. Kurths, H. J. Kleiner, A. Witt, N. Wessel, P. Saparin, KJ. Osterziel, R. Schurath, and R. Dietz, Cardiovasc. Res. 31, 419 (1996).
7. J. J. Żebrowski, W. Popławska, R. Baranowski, and T. Buchner, J. Tech. Phys. 38, 415 (1997).
8. A. Witt, J. Kurths, F. Krause, and K. Fischer, Geophys. Astrophys. Fluid Dyn. 77, 79 (1994).
9. J. J. Żebrowski, W. Popławska, R. Baranowski, and T. Buchner, Chaos Solitons Fractals (to be published).
10. J. J. Żebrowski, W. Popławska, R. Baranowski, and T. Buchner, Acta Phys. Pol. B (to be published).
11. A. Lempel and J. Ziv, IEEE Trans. Inf. Theory IT-22, 75 (1976)
12. F. Kaspar and H. G. Schuster, Phys. Rev. A 36, 842 (1987).
13. M. Wierzbicki and J. J. Żebrowski, Acta Phys. Pol. B 27, 2045 (1996).
14. J. Żebrowski, Phys. Rev. E 47, 2308 (1993).
15. A. Sukiennicki and R. A. Kosiński, Chaos, Solitons and Fractals 9, 181 (1998).
16. R. A. Kosiński and A. Sukiennicki, Acta Phys. Pol. A 89, 495 (1996).
17. J. J. Żebrowski and A. Sukiennicki, in Deformations of Mathematical Structures II: Surface Effects, edited by J. Ławrynowicz (Kluwer, Netherlands, 1994), pp. 435–460.
18. J. Żebrowski and A. Sukiennicki, Acta Phys. Pol. B 24, 785 (1993).
19. J. J. Żebrowski, Phys. Rev. B 39, 7205 (1989).
20. J. J. Żebrowski, Phys. Scr. 38, 632 (1988).
21. N. L. Schryer and L. R. Walker, J. Appl. Phys. 45, 5406 (1974).
22. J. J. Żebrowski and A. Sukiennicki, Proc. SPIE 2037, 290 (1994).
23. J. J. Żebrowski and A. Sukiennicki, J. Magn. Magn. Mater. 140-144, 2001 (1995).
24. R. Castro and T. Sauer, Phys. Rev. E 55, 287 (1997).
25. R. Hegger and H. Kantz, Europhys. Lett. 38, 267 (1997).
26. L. Glass, P. Hunter, and A. McCulloch, Theory of Heart (Springer, New York, 1991).
27. M. A. Woo, W. G. Stevenson, D. K. Moser, R. B. Trelease, and R. M. Harper, Am. Heart J. 123, 704 (1992).
28. A. Namajunas and A. Tamasevicius, Physica D 58, 482 (1992).
29. E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963).
30. J. Becker, F. Rödelsperger, Th. Weyrauch, H. Benner, and A. Cenys, Phys. Rev. E 59, 1622 (1999).
31. F. Takens, Phys. Rev. Lett. 51, 1265 (1980).
32. T. Buchner and J. J. Żebrowski, Chaos, Solitons and Fractals 9, 19 (1997).
33. I. Triandaf and I. Schwartz, Phys. Rev. E 48, 718 (1993).