Phase synchronization between two essentially different chaotic systems

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

Volumn 72, Issue 1, 2005, Pages

  Guan, Shuguang ^a   Lai, C H ^a   Wei, G W ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC OSCILLATORS; DETUNING; PHASE SYNCHRONIZATION;

COUPLED CIRCUITS; OSCILLATORS (ELECTRONIC);

CHAOS THEORY;

EID: 27244441784     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.016205     Document Type: Article

References (43)

1. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
2. A. Pikovsky, M. Rosenblum, and J. Kurths, in Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001).
3. 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).
4. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996).
5. 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).
6. A. Pujol-PerÃ, O. Calvo, M. A. Matías, and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.1525126 13, 319 (2003).
7. E. Rosa, Jr., C. M. Ticos, W. B. Pardo, J. A. Walkenstein, M. Monti, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.025202 68, 025202 (R) (2003).
8. M. S. Baptista, T. P. Silva, J. C. Sartorelli, I. L. Caldas, and E. Rosa, Jr., Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056212 67, 056212 (2003).
9. K. V. Volodchenko, V. N. Ivanov, S.-H. Gong, M. Choi, Y.-J. Park, and C.-M. Kim, Opt. Lett. OPLEDP 0146-9592 26, 1406 (2001).
10. D. J. DeShazer, R. Breban, E. Ott, and R. Roy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.044101 87, 044101 (2001).
11. D. Maza, A. Vallone, H. Mancini, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5567 85, 5567 (2000).
12. P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3291 81, 3291 (1998).
13. R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I. Rabinovich, and H. D. I. Abarbanel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 81.5692 81, 5692 (1998).
14. A. Pikovsky, G. Osipov, M. G. Rosenblum, M. Zaks, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.47 79, 47 (1997)
15. E.-H. Park, M. A. Zaks, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6627 60, 6627 (1999)
16. T. E. Vadivasova, A. G. Balanov, O. V. Sosnovtseva, D. E. Postnov, and E. Mosekilde, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00023-7 253, 66 (1999)
17. A. Pikovsky, M. G. Rosenblum, and J. Kurths, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127400001481 10, 2291 (2000).
18. A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00433-3 34, 165 (1996)
19. G. V. Osipov, A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2353 55, 2353 (1997)
20. M. Zhan, Z. Zheng, G. Hu, and X. Peng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.3552 62, 3552 (2000)
21. Z. Zheng, G. Hu, and Bambi Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7501 62, 7501 (2000)
22. Z. Liu, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.055201 63, 055201 (2001).
23. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.2115 54, 2115 (1996).
24. Z. Zheng and G. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62. 7882 62, 7882 (2000).
25. G. V. Osipov, B. Hu, C. Zhou, M. V. Ivanchenko, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.024101 91, 024101 (2003).
26. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193 78, 4193 (1997)
27. K. J. Lee, Y. Kwak, and T. K. Lim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.321 81, 321 (1998)
28. M. Zhan, G. W. Wei, and C.-H. Lai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036202 65, 036202 (2002).
29. G. A. Johnson, D. J. Mar, T. L. Carroll, and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.3956 80, 3956 (1998).
30. S. Boccaletti, D. L. Valladares, J. Kurths, D. Maza, and H. Mancini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.3712 61, 3712 (2000).
31. A. Stefanovska, H. Haken, P. V. E. McClintock, M. Hozic, F. Bajrovic, and S. Ribaric, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4831 85, 4831 (2000).
32. J. Y. Chen, K. W. Wong, and J. W. Shuai, Chaos CHAOEH 1054-1500 10.1063/1.1452738 12, 100 (2002).
33. H. J. Korsch and H.-J. Jodl, in Chaos: A Program Collection for the PC (Springer-Verlag, Berlin, 1999), p. 207.
34. D. J. Gauthier and J. C. Bienfang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1751 77, 1751 (1996).
35. L. Kocarev and P. Parlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1816 76, 1816 (1996).
36. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4528 53, 4528 (1996).
37. K. Pyragas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.R4508 54, R4508 (1996).
38. S. Guan, C.-H. Lai, and C. W. Wei, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036209 71, 036209 (2005).
39. B. Blasius, E. Montbrió, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.035204 67, 035204 (R) (2003).
40. Z. Liu, Y.-C. Lai, and M. A. Montbrió, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.045203 67, 045203 (R) (2003).
41. W.-H. Kye, D.-S. Lee, S. Rim, C.-M. Kim, and Y.-J. Park, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.025201 68, 025201 (R) (2003).
42. K. JosiÄ and D. J. Mar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056234 64, 056234 (2001).
43. M. Beck and K. JosiÄ, Chaos CHAOEH 1054-1500 10.1063/1.1505812 13, 247 (2003).