Diverse self-sustained oscillatory patterns and their mechanisms in excitable small-world networks

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

Volumn 82, Issue 2, 2010, Pages

  Qian, Yu ^a,b   Liao, Xuhong ^a   Huang, Xiaodong ^a   Mi, Yuanyuan ^a   Zhang, Lisheng ^a   Hu, Gang ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

^b BAOJI UNIVERSITY OF ARTS AND SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STATE; LONG-RANGE CONNECTION; OSCILLATORY PATTERNS; PARAMETER CONDITIONS; SHORTEST PATH; SMALL WORLD NETWORKS; SPATIOTEMPORAL PATTERNS; SPIRAL WAVES; TARGET WAVES;

EID: 77955600965     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.026107     Document Type: Article

References (26)

1. E. Meron, Phys. Rep. 218, 1 (1992). 10.1016/0370-1573(92)90098-K
2. C. Cross and P. C. Hoheberg, Rev. Mod. Phys. 65, 851 (1993). 10.1103/RevModPhys.65.851
3. A. T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987).
4. Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer, Dordrecht, 1995).
5. A. N. Zaikin and A. M. Zhabotinsky, Nature (London) 225, 535 (1970). 10.1038/225535b0
6. X. Huang, W. C. Troy, Q. Yang, H. Ma, C. R. Laing, S. J. Schiff, and J. Y. Wu, J. Neurosci. 24, 9897 (2004). 10.1523/JNEUROSCI.2705-04.2004
7. M. A. Dahlem, F. M. Schneide, and E. Schóll, Chaos 18, 026110 (2008). 10.1063/1.2937120
8. R. A. Gray, A. M. Pertsov, and J. Jalife, Nature (London) 392, 75 (1998). 10.1038/32164
9. A. Mikhailov, Foundations of Synergetics (Springer-Verlag, Berlin, 1994).
10. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998). 10.1038/30918
11. V. M. Eguiluz, D. R. Chialvo, G. A. Cecchi, M. Baliki, and A. V. Apkarian, Phys. Rev. Lett. 94, 018102 (2005). 10.1103/PhysRevLett.94.018102
12. F. Qi, Z. Hou, and H. Xin, Phys. Rev. Lett. 91, 064102 (2003). 10.1103/PhysRevLett.91.064102
13. A. Zumdieck, M. Timme, T. Geisel, and F. Wolf, Phys. Rev. Lett. 93, 244103 (2004). 10.1103/PhysRevLett.93.244103
14. L. F. Lago-Fernandez, R. Huerta, F. Corbacho, and J. A. Siguenza, Phys. Rev. Lett. 84, 2758 (2000). 10.1103/PhysRevLett.84.2758
15. D. He, G. Hu, M. Zhan, W. Ren, and Z. Gao, Phys. Rev. E 65, 055204 (R) (2002). 10.1103/PhysRevE.65.055204
16. S. Yonker and R. Wackerbauer, Phys. Rev. E 73, 026218 (2006). 10.1103/PhysRevE.73.026218
17. A. Roxin, H. Riecke, and S. A. Solla, Phys. Rev. Lett. 92, 198101 (2004). 10.1103/PhysRevLett.92.198101
18. A. J. Steele, M. Tinsley, and K. Showalter, Chaos 16, 015110 (2006). 10.1063/1.2177569
19. S. Sinha, J. Saramäki, and K. Kaski, Phys. Rev. E 76, 015101 (R) (2007). 10.1103/PhysRevE.76.015101
20. O. I. Kanakov, G. V. Osipov, C.-K. Chan, and J. Kurths, Chaos 17, 015111 (2007). 10.1063/1.2437581
21. M. Perc, Chaos, Solitons Fractals 31, 280 (2007). 10.1016/j.chaos.2005. 10.018
22. Q. L. X. Sun, M. Perc, and J. Kurths, Chaos 18, 023102 (2008). 10.1063/1.2900402
23. A. Rothkegel and K. Lehnertz, Chaos 19, 015109 (2009). 10.1063/1.3087432
24. D. Guo and C. Li, IEEE Trans. Neural Netw. 21, 895 (2010). 10.1109/TNN.2010.2044419
25. Y. Qian, X. Huang, G. Hu, and X. Liao, Phys. Rev. E 81, 036101 (2010). 10.1103/PhysRevE.81.036101
26. M. Bär and M. Eiswirth, Phys. Rev. E 48, R1635 (1993). 10.1103/PhysRevE.48.R1635