n:m phase synchronization with mutual coupling phase signals

Chaos

Volumn 12, Issue 1, 2002, Pages 100-106

  Chen, J Y ^a   Wong, K W ^a   Shuai, J W ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b OHIO UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036489675     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1452738     Document Type: Article

References (40)

1. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
2. B. Blasius, A. Huppert, and L. Stone, Nature (London) 399, 354 (1999).
3. K. Otsuka and R. Kawai, Phys. Rev. Lett. 84, 3049 (2000).
4. J.N. Blakely, D.J. Gauthier, G. Johnson, T.L. Carroll, and L.M. Pecora, Chaos 10, 738 (2000).
5. V. Dronov and E. Ott, Chaos 10, 291 (2000).
6. G. Hu, J.H. Xiao, J.Z. Yang, J.Z. Yang, F.G. Xie, and Z.L. Qu, Phys. Rev. E 56, 2738 (1997).
7. J.Y. Chen, K.W. Wong, and J.W. Shuai, Phys. Lett. A 263, 315 (1999).
8. W. Wang, I.Z. Kiss, and J.L. Hudson, Chaos 10, 248 (2000).
9. N.F. Rulkov, M.M. Sushchik, and L.S. Tsimring, Phys. Rev. E 51, 980 (1995).
10. L.M. Pecora, T.L. Carroll, G.A. Johnson, D.J. Mar, and J.F. Heagy, Chaos 7, 520 (1997).
11. D.Y. Tang, R. Dykstra, M.W. Hamiton, and N.R. Heckenberg, Chaos 8, 697 (1998).
12. M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
13. J.W. Shuai and D.M. Durand, Phys. Lett. A 264, 289 (1999).
14. D.E. Postnov, T.E. Vadivasova, O.V. Sosnovtseva, A.G. Balanov, V.S. Anishchenko, and E. Mosekilde, Chaos 9, 227 (1999).
15. V. Andrade, R.L. Davidchack, and Y.C. Lai, Phys. Rev. E 61, 3230 (2000).
16. I. Kim, C.M. Kim, W.H. Kye, and Y.J. Park, Phys. Rev. E 62, 8826 (2000).
17. K.J. Lee, Y. Kwak, and T.K. Lim, Phys. Rev. Lett. 81, 321 (1998).
18. J.Y. Chen, K.W. Wong, H.Y. Zheng, and J.W. Shuai, Phys. Rev. E 63, 036214 (2001).
19. A. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, Chaos 7, 680 (1997).
20. D. Pazó, I.P. Marino, V.P. Villar, and V.P. Munuzuri, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2533 (2000).
21. U. Parlitz and I. Wedekind, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 2527 (2000).
22. Z.G. Zheng, G. Hu, and B.B. Hu., Phys. Rev. E 62, 7501 (2000).
23. 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).
24. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996).
25. A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Physica D 16, 285 (1985).
26. D.J. Amit, Modeling Brain Function: The World of Attractor Neural Networks (Cambridge University Press, Cambridge, 1989).
27. O.E. Rossler, Phys. Lett. A 57, 397 (1976).
28. E.N. Lorenz, J. Atmos. Sci. 20, 155 (1979).
29. S. Boccaletti, D.L. Valladares, J. Kurths, D. Maza, and H. Mancini, Phys. Rev. E 61, 3712 (2000).
30. J.D. Farmer, Phys. Rev. Lett. 47, 179 (1981).
31. A.S. Pikovsky, Sov. J. Commun. Technol. Electron. 30, 85 (1985).
32. H. Strogatz Steven, Nature (London) 410, 268 (2001).
33. S. Boccaletti and F.T. Arecchi, Europhys. Lett. 31, 127 (1995).
34. S. Boccaletti, C. Grebogi, Y.C. Lai, H. Mancini, and D. Maza, Phys. Rep. 329, 103 (2000).
35. P. Horowitz and W. Hill, The Art of Electronics (Cambridge University Press, Cambridge, England, 1989).
36. S. Hayes, C. Grebogi, E. Ott, and A. Mark, Phys. Rev. Lett. 73, 1781 (1994).
37. E. Rosa, Jr., S. Hayes, and C. Grebogi, Phys. Rev. Lett. 78, 1247 (1997).
38. L. Glass, Nature (London) 410, 277 (2001).
39. D. Hoyer, O. Hoyer, and U. Zwiener, IEEE Trans. Biomed. Eng. 47, 68 (2000).
40. N.F. Rulkov, Phys. Rev. Lett. 86, 183 (2001).