Transition to complete synchronization in phase-coupled oscillators with nearest neighbor coupling

Chaos

Volumn 19, Issue 1, 2009, Pages

  El Nashar, Hassan F ^a,b   Muruganandam, Paulsamy ^c   Ferreira, Fernando F ^d   Cerdeira, Hilda A ^d,e  

^a Ain Shams University   (Egypt)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

^c BHARATHIDASAN UNIVERSITY   (India)

^d UNIVERSITY OF SÃO PAULO   (Brazil)

^e SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63849224459     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3056047     Document Type: Article

References (34)

1. A. T. Winfree, Geometry of Biological Time (Springer, New York, 1990).
2. C. W. Wu, Synchronization in Coupled Chaotic Circuits and Systems (World Scientific, Singapore, 2002).
3. S. H. Strogatz, Sync: The Emerging Science of Spontaneous Order (Hyperion, New York, 2003).
4. C. M. Gray, P. Koenig, A. K. Engel, and W. Singer, Nature (London) 338, 334 (1989).
5. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer, Dordrecht, 2000).
6. H. Haken, Brain Dynamics: Synchronization and Activity Patterns in Pulse-Coupled Neural Nets with Delays and Noise (Springer, Berlin, 2007).
7. Bifurcation, Patterns, and Symmetry, Special Issue of Physica D, edited by, M. Golubitsky, and, E. Knobloch, Vol. 143 (2000).
8. Y. Kuramoto, Chemical Oscillations, Waves and Turbulences (Springer, Berlin, 1984).
9. G. Hu, Y. Zhang, H. A. Cerdeira, and S. Chen, Phys. Rev. Lett. 85, 3377 (2000).
10. Y. Zhang, G. Hu, H. A. Cerdeira, S. Chen, T. Braun, and Y. Yao, Phys. Rev. E 63, 026211 (2001).
11. Y. Zhang, G. Hu, and H. A. Cerdeira, Phys. Rev. E 64, 037203 (2001).
12. I. A. Heisler, T. Braun, Y. Zhang, G. Hu, and H. A. Cerdeira, Chaos 13, 185 (2003).
13. P. A. Tass, Phase Resetting in Medicine and Biology (Springer, Berlin, 1999).
14. J. A. Acebron, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. 77, 137 (2005).
15. Y. Ma and K. Yoshikawa, arXiv:0809.1697v2, 2008.
16. Y. Braiman, T. A. Kennedy, K. Wiesenfeld, and A. Khinik, Phys. Rev. A 52, 1500 (1995).
17. B. C. Daniels, S. T. M. Dissanayake, and B. R. Trees, Phys. Rev. E 67, 026216 (2003).
18. Z. Liu, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. E 63, 055201 (R) (2001).
19. A. Khinik, Y. Braiman, V. Protopopescu, T. A. Kennedy, and K. Wiesenfeld, Phys. Rev. A 62, 063815 (2000).
20. D. Tsygankov and K. Wiesenfeld, Phys. Rev. E 73, 026222 (2006).
21. S. Manrubbia, A. Mikhailov, and D. Zanette, Emergence of dynamical Order: Synchronization Phenomena in Complex Systems (World Scientific, Singapore, 2004).
22. J. Rogge and D. Aeyels, J. Phys. A 37, 11135 (2004).
23. S. H. Strogatz and R. E. Mirollo, Physica D 31, 143 (1988).
24. Z. Zheng, G. Hu, and B. Hu, Phys. Rev. Lett. 81, 81 (1998).
25. Z. Zheng, B. Hu, and G. Hu, Phys. Rev. E 62, 402 (2000).
26. H. F. El-Nashar, A. S. Elgazzar, and H. A. Cerdeira, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 2945 (2002).
27. H. F. El-Nashar, Y. Zhang, H. A. Cerdeira, and F. Ibyinka A., Chaos 13, 1216 (2003).
28. H. F. El-Nashar, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, 3473 (2003).
29. P. Muruganandam, F. F. Ferreira, H. F. El-Nashar, and H. A. Cerdeira, Pramana, J. Phys. 70, 1143 (2008).
30. S. H. Strogatz, Nonlinear Dynamics and Chaos (Perseus, New York, 2000).
31. A. Carpio and L. L. Bonilla, Phys. Rev. Lett. 90, 135502 (2003).
32. S. Bocaletti, E. Allaria, R. Meucci, and F. Arecchi, Phys. Rev. Lett. 89, 194101 (2002).
33. L. Zhu, A. Raghu, and Y.-C. Lai, Phys. Rev. Lett. 86, 4017 (2001).
34. G.-M. Kim, G.-S. Yim, J.-W. Ryu, Y.-J. Park, and D.-U. Hwang, Europhys. Lett. 71, 723 (2005).