Self-sustaining oscillations in complex networks of excitable elements

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

Volumn 83, Issue 3, 2011, Pages

  McGraw, Patrick ^a   Menzinger, Michael ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; INITIAL CONDITIONS; KEY FEATURE; RANDOM NETWORK; SELF-ORGANIZE; SELF-SUSTAINING OSCILLATION;

EXCITED STATES;

EID: 79961121569     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.037102     Document Type: Article

References (30)

1. S. de Monte, F. d'Ovidio, S. Dano, and P. G. Sorensen, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0706089104 104, 18377 (2007). (Pubitemid 350210704)
2. J. H. E. Cartwright, Phys. Rev. E PNASA6 1539-3755 10.1103/PhysRevE.62. 1149 62, 1149 (2000).
3. V. Nanjundiah, Biophys. Chem. BICIAZ 0301-4622 10.1016/S0301-4622(98) 00118-5 72, 1 (1998). (Pubitemid 28267512)
4. G. Bub, A. Shrier, and L. Glass, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.028105 94, 028105 (2005). (Pubitemid 40620190)
5. M. R. Tinsley, A. F. Taylor, Z. Huang, F. Wang, and K. Showalter, Physica D PDNPDT 0167-2789 10.1016/j.physd.2009.08.001 239, 785 (2010).
6. A. F. Taylor, M. R. Tinsley, F. Wang, Z. Huang, and K. Showalter, Science SCIEAS 0036-8075 10.1126/science.1166253 323, 614 (2009).
7. A. J. Steele, M. Tinsley, and K. Showalter, Chaos CHAOEH 1054-1500 10.1063/1.2177569 16, 015110 (2006). (Pubitemid 43528824)
8. S. H. Strogatz, Sync: The Emerging Science of Spontanteous Order (Hyperion, New York, 2003);
9. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
10. X. Liao, e-print arXiv: 0906.2356;
11. X. Liao, Frontiers of Physics in China 10.1007/s11467-010-0152-1 6, 124 (2011).
12. T. J. Lewis and J. Rinzel, Network Comput. Neural Syst. NEWKEB 0954-898X 10.1088/0954-898X/11/4/304 11, 299 (2000).
13. A. Roxin, H. Riecke, and S. A. Solla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.198101 92, 198101 (2004).
14. E. Marder and D. Bucher, Curr. Biol. CUBLE2 0960-9822 10.1016/S0960-9822(01)00581-4 11, R986 (2001). (Pubitemid 33141419)
15. A. I. Selverston and M. Moulins, Ann. Rev. Physiol. ARPHAD 0066-4278 10.1146/annurev.ph.47.030185.000333 47, 29 (1985).
16. S. Sinha, J. Saramäki, and K. Kaski, Phys. Rev. E ARPHAD 1539-3755 10.1103/PhysRevE.76.015101 76, 015101 (R) (2007). (Pubitemid 47153007)
17. P. M. Gade and S. Sinha, Phys. Rev. E ARPHAD 1539-3755 10.1103/PhysRevE.72.052903 72, 052903 (2005); (Pubitemid 41777743)
18. M. Girvan, D. S. Callaway, M. E. J. Newman, and S. H. Strogatz, Phys. Rev. E ARPHAD 1539-3755 10.1103/PhysRevE.65.031915 65, 031915 (2002); (Pubitemid 40619158)
19. M. Kuperman and G. Abramson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2909 86, 2909 (2001). (Pubitemid 32293415)
20. E. Marinari, R. Monasson, and G. Semerjian, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10355-0 73, 8 (2006); (Pubitemid 43082439)
21. G. Bianconi and M. Marsili, J. Stat. Mech. EULEEJ 1742-5468 10.1088/1742-5468/2005/06/P06005 (2005) P06005;
22. G. Bianconi and A. Capocci, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.078701 90, 078701 (2003).
23. E. Marinari and R. Monasson, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2004/09/P09004 (2004) P09004.
24. M. Bär and M. Eiswirth, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.48.R1635 48, R1635 (1993).
25. Y. Qian, X. Huang, G. Hu, and X. Liao, Phys. Rev. E CHAOEH 1539-3755 10.1103/PhysRevE.81.036101 81, 036101 (2010).
26. H. Riecke, A. Roxin, S. Madruga, and S. A. Solla, Chaos CHAOEH 1054-1500 10.1063/1.2743611 17, 026110 (2007).
27. V. M. Eguiluz, D. R. Chialvo, G. A. Cecchi, M. Baliki, and A. V. Apkarian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.018102 94, 018102 (2005). (Pubitemid 40620264)
28. T. I. Netoff, R. Clewley, S. Arno, T. Keck, and J. A. White, J. Neurosci. JNRSDS 0270-6474 10.1523/JNEUROSCI.1509-04.2004 24, 8075 (2004); (Pubitemid 39280827)
29. M. Steriade, Neuronal Substrates of Sleep and Epilepsy (Cambridge University Press, New York, 2003);
30. I. Soltesz and K. Staley, eds., Computational Neuroscience in Epilepsy (Elsevier, New York, 2008).