Chimera and globally clustered chimera: Impact of time delay

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

Volumn 81, Issue 4, 2010, Pages

  Sheeba, Jane H ^a   Chandrasekar, V K ^a   Lakshmanan, M ^a  

^a BHARATHIDASAN UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

AS-LINKS; COUPLED PHASE OSCILLATORS; COUPLING DELAYS; GCC STATE; GLOBAL SYNCHRONIZATION; NUMERICAL EVIDENCE; THEORETICAL EXPLANATION;

TIME DELAY;

EID: 77950941232     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.046203     Document Type: Article

References (43)

1. Y. Kuramoto and D. Battogtokh, Nonlinear Phenom. Complex Syst. (Dordrecht, Neth.) 5, 380 (2002).
2. Y. Kuramoto, in Nonlinear Dynamics and Chaos: Where Do We Go From Here?, edited by, S. J. Hogan, (Institute of Physics, Bristol, England, 2003), p. 209.
3. S. I. Shima and Y. Kuramoto, Phys. Rev. E 69, 036213 (2004). 10.1103/PhysRevE.69.036213
4. D. M. Abrams and S. H. Strogatz, Phys. Rev. Lett. 93, 174102 (2004). 10.1103/PhysRevLett.93.174102
5. D. M. Abrams and S. H. Strogatz, Int. J. Bifurcat. Chaos Appl. Sci. Eng. 16, 21 (2006). 10.1142/S0218127406014551
6. D. M. Abrams, R. Mirollo, S. H. Strogatz, and D. A. Wiley, Phys. Rev. Lett. 101, 084103 (2008). 10.1103/PhysRevLett.101.084103
7. G. C. Sethia, A. Sen, and F. M. Atay, Phys. Rev. Lett. 100, 144102 (2008). 10.1103/PhysRevLett.100.144102
8. O. E. Omel'chenko, Y. L. Maistrenko, and P. A. Tass, Phys. Rev. Lett. 100, 044105 (2008). 10.1103/PhysRevLett.100.044105
9. A. T. Winfree, J. Theor. Biol. 16, 15 (1967) 10.1016/0022-5193(67)90051-3
10. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984)
11. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization-A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
12. S. H. Strogatz, Nature (London) 410, 268 (2001). 10.1038/35065725
13. A. Sherman and J. Rinzel, Proc. Natl. Acad. Sci. U.S.A. 89, 2471 (1992) 10.1073/pnas.89.6.2471
14. P. R. Roelfsema, A. K. Engel, P. Konig, and W. Singer, Nature (London) 385, 157 (1997) 10.1038/385157a0
15. W. Singer, Nature (London) 397, 391 (1999) 10.1038/17021
16. I. Z. Kiss, Y. M. Zhai, and J. L. Hudson, Science 296, 1676 (2002). 10.1126/science.1070757
17. M. G. Rosenblum and A. S. Pikovsky, Phys. Rev. Lett. 92, 114102 (2004) 10.1103/PhysRevLett.92.114102
18. H. Daido and K. Nakanishi, Phys. Rev. Lett. 96, 054101 (2006) 10.1103/PhysRevLett.96.054101
19. Jane H. Sheeba, V. K. Chandrasekar, A. Stefanovska, and P. V. E. McClintock, Phys. Rev. E 78, 025201 (R) (2008). 10.1103/PhysRevE.78.025201
20. J. H. Sheeba, V. K. Chandrasekar, and M. Lakshmanan, Phys. Rev. E 79, 055203 (R) (2009). 10.1103/PhysRevE.79.055203
21. I. Z. Kiss, M. Quigg, S. H. C. Chun, H. Kori, and J. L. Hudson, Biophys. J. 94, 1121 (2008) 10.1529/biophysj.107.113001
22. Jane H. Sheeba, A. Stefanovska, and P. V. E. McClintock, Biophys. J. 95, 2722 (2008). 10.1529/biophysj.108.134635
23. D. V. Senthilkumar and M. Lakshmanan, Phys. Rev. E 76, 066210 (2007) 10.1103/PhysRevE.76.066210
24. M. Chen and J. Kurths, Phys. Rev. E 76, 036212 (2007) 10.1103/PhysRevE.76.036212
25. D. V. Senthilkumar, J. Kurths, and M. Lakshmanan, Phys. Rev. E 79, 066208 (2009). 10.1103/PhysRevE.79.066208
26. W. Singer, Neuron 24, 49 (1999) 10.1016/S0896-6273(00)80821-1
27. P. Fries, Trends Cogn. Sci. 9, 474 (2005) 10.1016/j.tics.2005.08.011
28. Y. Yamaguchi, N. Sato, H. Wagatsuma, Z. Wu, C. Molter, and Y. Aota, Curr. Opin. Neurobiol. 17, 197 (2007). 10.1016/j.conb.2007.03.007
29. B. R. Trees, V. Saranathan, and D. Stroud, Phys. Rev. E 71, 016215 (2005) 10.1103/PhysRevE.71.016215
30. F. Rogister and R. Roy, Phys. Rev. Lett. 98, 104101 (2007). 10.1103/PhysRevLett.98.104101
31. Pritiraj Mohanty, Nature (London) 437, 325 (2005) 10.1038/437325a
32. J. Grollier, V. Cros, and A. Fert, Phys. Rev. B 73, 060409 (R) (2006); 10.1103/PhysRevB.73.060409
33. S. Murugesh and M. Lakshmanan, Chaos 19, 043111 (2009). 10.1063/1.3258365
34. L. Timmermann, J. Gross, M. Dirks, J. Volkmann, H. Freund, and A. Schnitzler, Brain 126, 199 (2002) 10.1093/brain/awg022
35. J. A. Goldberg, T. Boraud, S. Maraton, S. N. Haber, E. Vaadia, and H. Bergman, J. Neurosci. 22, 4639 (2002).
36. B. Percha, R. Dzakpasu, M. Zochowski, and J. Parent, Phys. Rev. E 72, 031909 (2005) 10.1103/PhysRevE.72.031909
37. M. Zucconi, M. Manconi, D. Bizzozero, F. Rundo, C. J. Stam, L. Ferini-Strambi, and R. Ferri, Neurol. Sci. 26, s199 (2005). 10.1007/s10072-005- 0487-5
38. G. Pfurtscheller and C. Neuper, Neurosci. Lett. 174, 93 (1994) 10.1016/0304-3940(94)90127-9
39. C. M. Krause, H. Lang, M. Laine, and B. Pörn, Electroencephalogr. Clin. Neurophysiol. 98, 319 (1996) 10.1016/0013-4694(96)00283-0
40. L. Leocani, C. Toro, P. Manganotti, P. Zhuang, and M. Hallet, Electroencephalogr. Clin. Neurophysiol. 104, 199 (1997) 10.1016/S0168-5597(96) 96051-7
41. G. Pfurtscheller and F. H. Lopes da Silva, Clin. Neurophysiol. 110, 1842 (1999). 10.1016/S1388-2457(99)00141-8
42. Jane H. Sheeba, V. K. Chandrasekar, and M. Lakshmanan, Phys. Rev. Lett. 103, 074101 (2009). 10.1103/PhysRevLett.103.074101
43. B. Musizza, A. Stefanovska, P. V. E. McClintock, M. Paluš, J. Petrovčič, S. Ribarič, and F. F. Bajrovic, J. Physiol. (London) 580, 315 (2007). 10.1113/jphysiol.2006.126748