Analysis of phase synchronization of coupled chaotic oscillators with empirical mode decomposition

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

Volumn 74, Issue 4, 2006, Pages

  Goska, A ^a   Krawiecki, A ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; NATURAL FREQUENCIES; SYNCHRONIZATION;

CHAOTIC OSCILLATORS; DRIVE OSCILLATORS; PHASE SYNCHRONIZATION; RESPONSE OSCILLATOR;

OSCILLATORS (MECHANICAL);

EID: 33750560905     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.046217     Document Type: Article

References (26)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge Universiy Press, Cambridge, England, 2003).
2. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
3. R. Roy and K. S. Thornburg, Jr., Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2009 72, 2009 (1994).
4. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193 78, 4193 (1997).
5. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.980 51, 980 (1995).
6. M. A. Matías, J. Güémez, and C. Martín, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00946-2 226, 264 (1997).
7. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996).
8. Shuguang Guan, C.-H. Lai, and G. W. Wei, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016205 72, 016205 (2005).
9. A. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.166265 7, 680 (1997).
10. E. Rosa, E. Ott, and M. H. Hess, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1642 80, 1642 (1998).
11. E. N. Lorenz, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/1520-0469(1963) 020<0130:DNF>2.0.CO;2 20, 130 (1963).
12. G. Chen and T. Ueta, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127499001024 9, 1465 (1999).
13. J. H. Lü, G. Chen, and D. Z. Cheng, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S021812740401014X 14, 1507 (2004).
14. V. S. Anishchenko, A. N. Silchenko, and I. A. Khovanov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.316 57, 316 (1998).
15. A. S. Pikovsky, M. G. Rosenblum, G. V. Osipov, and J. Kurths, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00301-6 104, 219 (1997).
16. E.-H. Park, M. A. Zaks, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6627 60, 6627 (1999).
17. N. E. Huang, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1998.0193 454, 903 (1998).
18. M. Chavez, C. Adam, V. Navarro, S. Boccaletti, and J. Martineire, Chaos CHAOEH 1054-1500 10.1063/1.1938467 15, 023904 (2005).
19. B. Blasius, E. Montbrió, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.035204 67, 035204 (R) (2003).
20. M. A. Zaks, Eun-Hyoung Park, M. G. Rosenblum, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4228 82, 4228 (1999);
21. Eun-Hyoung Park, M. A. Zaks, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6627 60, 6627 (1999).
22. T. Yalcinkaya and Y.-C. Lai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3885 79, 3885 (1997).
23. G. Rilling, P. Flandrin, and P. Goncalves (unpublished).
24. G. V. Osipov, Bambi Hu, Changsong Zhou, M. V. Ivanchenko, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.024101 91, 024101 (2003).
25. M. A. Bray and J. P. Wikswo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.051902 65, 051902 (2002);
26. I. M. Jánosi and R. Müller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056126 71, 056126 (2005).