Unified framework for detecting phase synchronization in coupled time series

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

Volumn 80, Issue 4, 2009, Pages

  Sun, Junfeng ^a,b   Small, Michael ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BIVARIATE TIME SERIES; COUPLED SYSTEMS; IN-BAND NOISE; PHASE COHERENCE; PHASE SYNCHRONIZATION; SCALE MIXTURE OF NORMALS; THEORETICAL RESULT; UNIFIED FRAMEWORK;

BANDPASS FILTERS; INTERNET PROTOCOLS; NORMAL DISTRIBUTION; SIGNAL DETECTION; SIGNAL PROCESSING;

TIME SERIES;

EID: 70449085104     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.046219     Document Type: Article

References (43)

1. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996). 10.1103/PhysRevLett.76.1804
2. P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. 81, 3291 (1998). 10.1103/PhysRevLett.81.3291
3. R. T. Canolty, E. Edwards, S. S. Dalal, M. Soltani, S. S. Nagarajan, H. E. Kirsch, M. S. Berger, N. M. Barbaro, and R. T. Knight, Science 313, 1626 (2006). 10.1126/science.1128115
4. M. Le Van Quyen and A. Bragin, Trends Neurosci. 30, 365 (2007). 10.1016/j.tins.2007.05.006
5. D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. 87, 044101 (2001). 10.1103/PhysRevLett.87.044101
6. I. Z. Kiss, Q. Lv, and J. L. Hudson, Phys. Rev. E 71, 035201 (R) (2005). 10.1103/PhysRevE.71.035201
7. S.-B. Shim, M. Imboden, and P. Mohanty, Science 316, 95 (2007). 10.1126/science.1137307
8. C. Hammond, H. Bergman, and P. Brown, Trends Neurosci. 30, 357 (2007). 10.1016/j.tins.2007.05.004
9. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, England, 2001).
10. J. M. Hurtado, L. L. Rubchinsky, and K. A. Sigvardt, J. Neurophysiol. 91, 1883 (2004). 10.1152/jn.00853.2003
11. R. Brown and L. Kocarev, Chaos 10, 344 (2000). 10.1063/1.166500
12. R. Quian Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger, Phys. Rev. E 65, 041903 (2002). 10.1103/PhysRevE.65.041903
13. T. Pereira, M. S. Baptista, and J. Kurths, Phys. Rev. E 75, 026216 (2007). 10.1103/PhysRevE.75.026216
14. J. Sun, J. Zhang, J. Zhou, X. Xu, and M. Small, Phys. Rev. E 77, 046213 (2008). 10.1103/PhysRevE.77.046213
15. T. Kreuz, F. Mormann, R. G. Andrzejak, A. Kraskov, K. Lehnertz, and P. Grassberger, Physica D 225, 29 (2007). 10.1016/j.physd.2006.09.039
16. M. Winterhalder, B. Schelter, J. Kurths, A. Schulze-Bonhage, and J. Timmer, Phys. Lett. A 356, 26 (2006). 10.1016/j.physleta.2006.03.018
17. A. G. Rossberg, K. Bartholomé, and J. Timmer, Phys. Rev. E 69, 016216 (2004). 10.1103/PhysRevE.69.016216
18. J. Kurths, M. C. Romano, M. Thiel, G. V. Osipov, M. V. Ivanchenko, I. Z. Kiss, and J. L. Hudson, Nonlinear Dyn. 44, 135 (2006). 10.1007/s11071-006-1957-x
19. A. E. Hramov and A. A. Koronovskii, Chaos 14, 603 (2004). 10.1063/1.1775991
20. T. Pereira, M. S. Baptista, and J. Kurths, Phys. Lett. A 362, 159 (2007). 10.1016/j.physleta.2006.09.099
21. P. J. Loughlin, J. Acoust. Soc. Am. 105, 264 (1999). 10.1121/1.424583
22. P. M. Oliveira and V. Barroso, J. Franklin Inst. 337, 303 (2000). 10.1016/S0016-0032(00)00029-6
23. L. Xu, Z. Chen, K. Hu, H. E. Stanley, and P. C. Ivanov, Phys. Rev. E 73, 065201 (R) (2006). 10.1103/PhysRevE.73.065201
24. G. V. Osipov, B. Hu, C. Zhou, M. V. Ivanchenko, and J. Kurths, Phys. Rev. Lett. 91, 024101 (2003). 10.1103/PhysRevLett.91.024101
25. D. Vakman, IEEE Trans. Signal Process. 44, 791 (1996). 10.1109/78.492532
26. L. Cohen, Time-Frequency Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1995).
27. B. Boashash, Proc. IEEE 80, 520 (1992). 10.1109/5.135376
28. D. Vakman, IEEE Trans. Instrum. Meas. 43, 668 (1994). 10.1109/19.310187
29. E. Bedrosian, Proc. IEEE 51, 868 (1963). 10.1109/PROC.1963.2308
30. A. H. Nuttall and E. Bedrosian, Proc. IEEE 54, 1458 (1966). 10.1109/PROC.1966.5138
31. S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, San Diego, CA, 1998).
32. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis, 2nd ed. (Cambridge University Press, England, 2003).
33. A. Bruns, J. Neurosci. Methods 137, 321 (2004). 10.1016/j.jneumeth.2004. 03.002
34. N. M. Blachman, Proc. IRE 41, 748 (1953). 10.1109/JRPROC.1953.274255
35. B. C. Lovell and R. C. Williamson, IEEE Trans. Signal Process. 40, 1708 (1992). 10.1109/78.143443
36. S. R. Jammalamadaka and A. SenGupta, Topics in Circular Statistics (World Scientific, Singapore, 2001).
37. B. Schelter, M. Winterhalder, J. Timmer, and M. Peifer, Phys. Lett. A 366, 382 (2007). 10.1016/j.physleta.2007.01.085
38. W. R. Bennett, Proc. IRE 44, 609 (1956). 10.1109/JRPROC.1956.275124
39. H. Hamdan, Commun. Stat: Theory Meth. 35, 407 (2006). 10.1080/03610920500476390
40. C. Allefeld and J. Kurths, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 405 (2004). 10.1142/S021812740400951X
41. S. J. Orfanidis, Introduction to Signal Processing (Prentice Hall, Englewood Cliffs, NJ, 1996).
42. M. Palus, Phys. Lett. A 235, 341 (1997). 10.1016/S0375-9601(97)00635-X
43. M. Thiel, M. C. Romano, J. Kurths, M. Rolfs, and R. Kliegl, Europhys. Lett. 75, 535 (2006). 10.1209/epl/i2006-10147-0