Characterizing synchronization in time series using information measures extracted from symbolic representations

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

Volumn 79, Issue 4, 2009, Pages

  Monetti, Roberto ^a   Bunk, Wolfram ^a   Aschenbrenner, Thomas ^a   Jamitzky, Ferdinand ^b  

^a MAX PLANCK INSTITUT FÜR EXTRATERRESTRISCHE PHYSIK   (Germany)

^b LEIBNIZ SUPERCOMPUTING CENTRE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED DYNAMICS; DELAY VECTORS; INFORMATION MEASURES; RANK ORDERINGS; SYMBOLIC REPRESENTATIONS; SYNCHRONIZATION PROPERTIES;

NONLINEAR SYSTEMS; TIME SERIES;

SYNCHRONIZATION;

EID: 65549134116     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046207     Document Type: Article

References (18)

1. C. Schafer, M. Rosenblum, J. Kurths, and H. Abel, Nature 392, 239 (1998). 10.1038/32567 (Pubitemid 28155089)
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. B. Blasius, A. Huppert, and L. Stone, Nature 399, 354 (1999). 10.1038/20676 (Pubitemid 29318132)
4. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990). 10.1103/PhysRevLett.64.821
5. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996). 10.1103/PhysRevLett.76.1804
6. E. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. 80, 1642 (1998). 10.1103/PhysRevLett.80.1642
7. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997). 10.1103/PhysRevLett.78.4193
8. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995). 10.1103/PhysRevE.51.980
9. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996). 10.1103/PhysRevLett.76.1816
10. S. Boccaletti, J. Kurths, G. Osipov, D. Valladares, and C. Zhou, Phys. Rep. 366, 1 (2002). 10.1016/S0370-1573(02)00137-0
11. C. Bandt and B. Pompe, Phys. Rev. Lett. 88, 174102 (2002). 10.1103/PhysRevLett.88.174102
12. Z. Liu, Europhys. Lett. 68, 19 (2004). 10.1209/epl/i2004-10173-x (Pubitemid 39375265)
13. K. Keller and K. Wittfeld, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, 693 (2004). 10.1142/S0218127404009387 (Pubitemid 40242212)
14. D. Johnson and S. Sinanović, Available from http://citeseer.ist. psu.edu/johnson01symmetrizing.html (2001).
15. A. M. Fraser and H. L. Swinney, Phys. Rev. A 33, 1134 (1986). 10.1103/PhysRevA.33.1134
16. S. Boccaletti and D. L. Valladares, Phys. Rev. E 62, 7497 (2000). 10.1103/PhysRevE.62.7497
17. D. Gabor, J. IEE London 93, 429 (1946).
18. M. Palus, Phys. Lett. A 235, 341 (1997). 10.1016/S0375-9601(97)00635-X