Estimation of delay in coupling from time series

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 2, 2004, Pages

  Cimponeriu, Laura ^a   Rosenblum, Michael ^b   Pikovsky, Arkady ^b  

^a UNIVERSITY OF PATRAS   (Greece)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CORRELATION METHODS; DATA ACQUISITION; FUNCTIONS; INTEGRATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES; PHASE SHIFT; SYNCHRONIZATION; TIME SERIES ANALYSIS;

CONTINUOUS-TIME MODELS; CROSS-CORRELATION ANALYSIS; SELF-SUSTAINED OSCILLATORS; WEAK COUPLING;

DELAY CIRCUITS;

EID: 41349108716     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046213     Document Type: Article

References (38)

1. E. Niebur, H. G. Schuster, and D. M. Kammen, Phys. Rev. Lett. 67, 2753 (1991).
2. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 80, 5109 (1998).
3. M. K. S. Yeung and S. H. Strogatz, Phys. Rev. Lett. 82, 648 (1999).
4. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica D 129, 15 (1999).
5. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Physica D 144, 335 (2000).
6. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 85, 3381 (2000).
7. T. Heil et al., Phys. Rev. Lett. 86, 795 (2001).
8. A. Takamatsu, T. Fujii, and I. Endo, Phys. Rev. Lett. 85, 2026 (2000).
9. C. Keyl et al., Clin. Sci. 99, 113 (2000).
10. W. Gerstner, Phys. Rev. Lett. 76, 1755 (1996).
11. N. Brunel and V. Hakim, Neural Comput. 11, 1621 (1999).
12. D. Golomb, D. Hansel, and G. Mato, in Neuro-informatics and Neural Modeling, Vol. 4 of Handbook of Biological Physics, edited by F. Moss and S. Gielen (Elsevier, Amsterdam, 2001), pp. 887-968.
13. M. J. Bünner et al., in Nonlinear Physics of Complex Systems. Current Status and Future Trends, edited by J. Parisi, S. C. Müller, and W. Zimmermann (Springer-Verlag, Berlin, 1996), pp. 229-238.
14. M. J. Bünner, T. Meyer, A. Kittel, and J. Parisi, Phys. Rev. E 56, 5083 (1997).
15. H. Voss and J. Kurths, Phys. Lett. A 234, 336 (1997).
16. R. Hegger, M. J. Bünner, H. Kantz, and A. Giaquinta, Phys. Rev. Lett. 81, 558 (1998).
17. M. J. Bünner et al., Europhys. Lett. 42, 353 (1998).
18. M. J. Bünner et al., Eur. Phys. J. D 10, 165 (2000).
19. M. J. Bünner et al., Eur. Phys. J. D 10, 177 (2000).
20. B. P. Bezruchko, A. S. Karavaev, V. I. Ponomarenko, and M. D. Prokhorov, Phys. Rev. E 64, 056216 (2001).
21. W. Horbelt, H. U. Voss, and J. Timmer, Phys. Lett. A 299, 513 (2002).
22. T. Ohira and R. Sawatari, Phys. Rev. E 55, R2077 (1997).
23. M. G. Rosenblum et al., in Neuro-informatics and Neural Modeling, Vol. 4 of Handbook of Biological Physics, edited by F. Moss and S. Gielen (Elsevier, Amsterdam, 2001), pp. 279-321.
24. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2001).
25. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
26. D. Rybski, S. Havlin, and A. Bunde, Physica A 320, 601 (2003).
27. E. Rodriguez et al., Nature (London) 397, 430 (1999).
28. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963).
29. A. Pikovsky, M. Rosenblum, G. Osipov, and J. Kurths, Physica D 104, 219 (1997).
30. M. Rosenblum and A. Pikovsky, Phys. Rev. E 64, 045202(R) (2001).
31. M. G. Rosenblum et al., Phys. Rev. E 65, 041909 (2002).
32. B. P. Bezruchko, V. Ponomarenko, A. S. Pikovsky, and M. G. Rosenblum, Chaos 13, 179 (2003).
33. R. Mrowka, L. Cimponeriu, A. Patzak, and M. Rosenblum, Am. J. Physiol. 285, R1395 (2003).
34. D. A. Smirnov and B. P. Bezruchko, Phys. Rev. E 68, 046209 (2003).
35. K. Judd and A. Mees, Physica D 82, 426 (1995).
36. L. A. Aguirre, U. S. Freitas, C. Letellier, and J. Maquet, Physica D 158, 1 (2001).
37. B. P. Bezruchko, T. V. Dikanev, and D. A. Smirnov, Phys. Rev. E 64, 036210 (2001).
38. H. U. Voss, in Nonlinear Dynamics and Statistics, edited by A. Mees (Birkhaeuser, Boston, 2001), pp. 413-434.