Time-delay-induced phase-transition to synchrony in coupled bursting neurons

Chaos

Volumn 21, Issue 2, 2011, Pages

  Adhikari, Bhim Mani ^a   Prasad, Awadhesh ^b   Dhamala, Mukeshwar ^a  

^a GEORGIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CYTOLOGY; NERVE CELL;

MODELS, BIOLOGICAL; NEURONS;

EID: 79959934462     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3584822     Document Type: Article

References (34)

1. Swadlow H.A. J. Neurophysiol. 1985, 54:1346.
2. Kandel E.R. Schwartz J.H. Jessell T.M. Principles of Neural Science 1991, and 3rd ed. (Elsevier, New York, ).
3. Swadlow H.A. J. Neurophysiol. 1985, 71:437.
4. Dhamala M. Jirsa V.K. Ding M. Phys. Rev. Lett. 2004, 92:074104. 10.1103/PhysRevLett.92.074104, and.
5. Rosemblum M.G. Pikovsky A.S. Phys. Rev. Lett. 2004, 92:114102. 10.1103/PhysRevLett.92.114102, and.
6. Rossoni E. Chen Y. Ding M. Feng J. Phys. Rev. E 2005, 71:061904. 10.1103/PhysRevE.71.061904, and.
7. Gong P. van Leeuwen C. Phys. Rev. Lett. 2007, 98:048104. 10.1103/PhysRevLett.98.048104, and.
8. Ghosh A. Rho Y. McIntosh A.R. Kotter R. Jirsa V.K. PLOS Comput. Biol. 2008, 4:e1000196. 10.1371/journal.pcbi.1000196.g001, and (10).
9. Liang X. Tang M. Dhamala M. Liu Z. Phys. Rev. E. 2009, 80:066202. 10.1103/PhysRevE.80.066202, and.
10. Liang X. Dhamala M. Zaho L. Liu Z. Phys. Rev. E. 2010, 82:010902. 10.1103/PhysRevE.82.010902, and.
11. Prasad A. Dhamala M. Adhikari B.M. Ramaswamy R. Phys. Rev. E. 2010, 81:0027201. 10.1103/PhysRevE.81.027201, and.
12. Prasad A. Dhamala M. Adhikari B.M. Ramaswamy R. Phys. Rev. E. 2010, 82:0027201. 10.1103/PhysRevE.82.027201, and.
13. Wang Q. Duan Z. Perc M. Chen G. Europhys. Lett. 2008, 83:50008. 10.1209/0295-5075/83/50008, and.
14. Wang Q. Perc M. Duan Z. Chen G. Phys. Rev. E 2009, 80:026206. 10.1103/PhysRevE.80.026206, and.
15. Wang Q. Perc M. Duan Z. Chen G. Physica A 2010, 389:3299. 10.1016/j.physa.2010.03.031, and.
16. Wang Q. Chen G. Perc M. PLoS ONE 2011, 6:e15851. 10.1371/journal.pone.0015851.g001, and.
17. Buric N. Todorovic K. Vasovic N. Phys. Rev. E. 2008, 78:036211. 10.1103/PhysRevE.78.036211, and.
18. Schuster H.G. Wagner P. Prog. Theor. Phys. 1989, 81:939. 10.1143/PTP.81.939, and.
19. Prasad A. Dana S.K. Karnatak R. Kurths J. Blasius B. Ramaswamy R. Chaos 2008, 18:023111. 10.1063/1.2905146, and.
20. Masoller C. Torrent M.C. Jarcia-Ojalvo J. Philos. Trans. R. Soc. London, Ser. A 2009, 367:3255. 10.1098/rsta.2009.0096, and.
21. Ermentrout B. Ko T.-W. Philos. Trans. R. Soc. London, Ser. A 2009, 367:1097. 10.1098/rsta.2008.0259, and.
22. Prasad A. Kurths J. Dana S.K. Ramaswamy R. Phys. Rev. E. 2006, 74:035204. 10.1103/PhysRevE.74.035204, and.
23. Hindmarsh J.L. Rose R.M. Nature 1982, 296:162. 10.1038/296162a0, and.
24. Cymbalyuk G.S. Calabrese R.L. Neurocomputing 2001, 38-40:159. 10.1016/S0925-2312(01)00414-3, and.
25. Cymbalyuk G.S. Shilnikov A. J. Comput. Neurosci. 2005, 18:255. 10.1007/s10827-005-0354-7, and.
26. Hindmarsh J.L. Rose R.M. Proc. R. Soc. London, Ser. B 1984, 221:87. 10.1098/rspb.1984.0024, and.
27. Dhamala M. Jirsa V.K. Ding M. Phys. Rev. Lett. 2004, 92:028101. 10.1103/PhysRevLett.92.028101, and.
28. Sun X. Lei J. Perc M. Kurths J. Chen G. Chaos 2011, 21:016110. 10.1063/1.3559136, and.
29. Jalil S. Belykh I. Shilnikov A. Phys. Rev. E 2010, 81(R):045201. 10.1103/PhysRevE.81.045201, and.
30. Izhikevich E.M. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting 2007, (MIT Press, Cambridge, MA, ).
31. Shilnikov A. Calabrese R.L. Cymbalyuk G. Phys. Rev. E. 2005, 71:056214. 10.1103/PhysRevE.71.056214, and.
32. Channell P. Cymbalyuk G.S. Shilnikov A. Phys. Rev. Lett. 2007, 98:134101. 10.1103/PhysRevLett.98.134101, and.
33. Rosenblum M.G. Pikovsky A.S. Kurths J. Phys. Rev. Lett. 1997, 78:4193. 10.1103/PhysRevLett.78.4193, and.
34. Klinshov V.V. Nekorkin V.I. Chaos, Solitons, Fractals 2011, 44:98. 10.1016/j.chaos.2010.12.007, and.