Measuring the degree of synchronization from time series data

Europhysics Letters

Volumn 68, Issue 1, 2004, Pages 19-25

  Liu, Zonghua ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644246549     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10173-x     Document Type: Article

References (24)

1. BOCCALETTI S., KURTHS J., OSIPOV G., VALLADARES D. L. and ZHOU C. S., Phys. Rep., 366 (2002) 1.
2. PECORA L. M. and CARROLL T. L., Phys. Rev. Lett., 64 (1990) 821.
3. ROSENBLUM M. G., PIKOVSKY A. S. and KURTHS J., Phys. Rev. Lett., 78 (1997) 4193.
4. ROSENBLUM M. G., PIKOVSKY A. S. and KURTHS J., Phys. Rev. Lett., 76 (1996) 1804.
5. PIKOVSKY A. S., ROSENBLUM M. G., OSIPOV G. and KURTHS J., Physica D, 104 (1997) 219.
6. WANG W., LIU Z. and HU B., Phys. Rev. Lett., 84 (2000) 2610; Phys. Rev. E, 62 (2000) 2114.
7. WANG W., LIU Z. and HU B., Phys. Rev. Lett., 84 (2000) 2610; Phys. Rev. E, 62 (2000) 2114.
8. RULKOV N. F., SUSHCHIK M. M. and TSIMRING L. S., Phys. Rev. E, 51 (1995) 980.
9. PECOHA L. M., CARROLL T. L. and HEAGY J. F., Phys. Rev. E, 52 (1995) 3420.
10. ABAHBANEL H. D. I., RULKOV N. F., SUSHCHIK M. M. and TSIMRING L. S., Phys. Rev. E, 53 (1996) 4528.
11. KOCARER L. and PARLITZ U., Phys. Rev. Lett., 76 (1996) 1816.
12. HUNT B. R., OTT E. and YORKE J. A., Phys. Rev. E, 55 (1997) 4029.
13. PYRAGAS K., Phys. Rev. E, 56 (1997) 5183.
14. LIU Z. and CHES S., Phys. Rev. E, 56 (1997) 7297; 55 (1997) 6651.
15. LIU Z. and CHES S., Phys. Rev. E, 56 (1997) 7297; 55 (1997) 6651.
16. BROWN R., Phys. Rev. Lett., 81 (1998) 4835.
17. GOODRIDGE C. L., PECORA L. M., CARROLL T. L. and RACHFORD F. J., Phys. Rev. E, 64 (2001) 026221.
18. HE D., STONE L. and ZHENG Z., Phys. Rev. E, 66 (2002) 036208.
19. BOCCALETTI S., PECORA L. M. and PELAEZ A., Phys. Rev. E, 63 (2001) 066219.
20. PYRAGAS K., Phys. Rev. E, 54 (1996) R4508.
21. PACKARD N. H., CRUTCHFIELD J. P., FARMER J. D. and SHAW R. S., Phys. Rev. Lett., 45 (1980) 712.
22. A larger m may reflect the local structure more precisely, but it will increase the work of calculation. As the idea is based on a coarse-graining process, the high precision of the local structure is not necessary.
23. BANDT C. and POMPE B., Phys. Rev. Lett., 88 (2002) 174102.
24. OTT E., Chaos in Dynamical Systems (Cambridge University Press, Cambridge) 1993.