Chaotic phase synchronization in small-world networks of bursting neurons

Chaos

Volumn 21, Issue 1, 2011, Pages

  Yu, Haitao ^a   Wang, Jiang ^a   Deng, Bin ^a   Wei, Xile ^a   Wong, Y K ^b   Chan, W L ^b   Tsang, K M ^b   Yu, Ziqi ^a  

^a TIANJIN UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARTICLE; ELECTROENCEPHALOGRAPHY PHASE SYNCHRONIZATION; NERVE CELL; NERVE CELL NETWORK; NONLINEAR SYSTEM; PHYSIOLOGY; TIME;

ACTION POTENTIALS; ELECTROENCEPHALOGRAPHY PHASE SYNCHRONIZATION; NERVE NET; NEURONS; NONLINEAR DYNAMICS; TIME FACTORS;

EID: 79953276580     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3565027     Document Type: Article

References (53)

1. Manyakov N.V. Van Hulle M.M. Chaos 2008, 18:037130. 10.1063/1.2949928, and.
2. Elson R.C. Selverston A.I. Huerta R. Rulkov N.F. Rabinovich M.I. Abarbanel H.D. I. Phys. Rev. Lett. 1998, 81:5692. 10.1103/PhysRevLett.81.5692, and.
3. Kryukov A.K. Petrov V.S. Averyanova L.S. Osipov G.V. Chen W. Drugova O. Chan C.K. Chaos 2008, 18:037129. 10.1063/1.2956985, and.
4. Boccaletti S. Kurths J. Osipov G. Valladares D.L. Zhou C.S. Phys. Rep. 2002, 366:1. 10.1016/S0370-1573(02)00137-0, and.
5. Singer W. Annu. Rev. Physiol. 1993, 55:349. 10.1146/annurev.ph.55.030193.002025.
6. MacKay W.A. Trends Cogn. Sci. 1997, 1:176. 10.1016/S1364-6613(97)01059-0.
7. Freund H.J. Physiol. Rev. 1983, 63:387. http://physrev.physiology.org/content/63/2/387.extract.
8. Levy R. Hutchison W.D. Lozano A.M. Dostrovsky J.O. J. Neurosci. 2000, 20:7766. and http://www.jneurosci.org/content/20/20/7766.short.
9. Izhikevich E.M. Int. J. Bifurcation Chaos 2000, 10:1171. 10.1142/S0218127400000840.
10. Izhikevich E.M. Hoppensteadt F.C. Int. J. Bifurcation Chaos 2004, 14:3847. 10.1142/S0218127404011739, and.
11. Shilnikov A.L. Rulkov N.F. Int. J. Bifurcation Chaos 2003, 13:3325. 10.1142/S0218127403008521, and.
12. Lisman J.E. Trends Neurosci. 1997, 20:38. 10.1016/S0166-2236(96)10070-9.
13. Hodgkin A.L. Huxley A.F. J. Physiol. 1952, 117:500. and http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1392413/.
14. Rulkov N.F. Phys. Rev. E 2002, 65:041922. 10.1103/PhysRevE.65.041922.
15. Rulkov N.F. Phys. Rev. Lett. 2001, 86:183. 10.1103/PhysRevLett.86.183.
16. Tanaka G. Ibarz B. Sanjuan M.A. Aihara K. Chaos 2006, 16:013113. 10.1063/1.2148387, and.
17. Shi X. Lu Q. Physica A 2009, 388:2410. 10.1016/j.physa.2009.03.008, and.
18. Shi X. Lu Q. Chin. Phys. 2005, 14:77. 10.1088/1009-1963/14/1/016, and.
19. Rosenblum M.G. Pikovsky A.S. Kurths J. Phys. Rev. Lett. 1996, 76:1804. 10.1103/PhysRevLett.76.1804, and.
20. Ivanchenko M.V. Osipov G.V. Shalfeev V.D. Kurths J. Phys. Rev. Lett. 2004, 93:134101. 10.1103/PhysRevLett.93.134101, and.
21. Batista C.A. S. Batista A.M. de Pontes J.A. C. Viana R.L. Lopes S.R. Phys. Rev. E 2007, 76:016218. 10.1103/PhysRevE.76.016218, and.
22. Batista C.A. S. Batista A.M. de Pontes J.A. C. Lopes S.R. Viana R.L. Chaos, Solitons Fractals 2009, 41:2220. 10.1016/j.chaos.2008.08.025, and.
23. Watts D.J. Strogatz S.H. Nature 1998, 393:440. 10.1038/30918, and.
24. Shefi O. Golding I. Segev R. Ben-Jacob E. Ayali A. Phys. Rev. E 2002, 66:021905. 10.1103/PhysRevE.66.021905, and.
25. Chialvo D.R. Physica A 2004, 340:756. 10.1016/j.physa.2004.05.064.
26. Sporns O. Chialvo D.R. Kaiser M. Hilgetag C.C. Trends Cogn. Sci. 2004, 8:418. 10.1016/j.tics.2004.07.008, and.
27. McCormick D.A. Contreras D. Ann. Rev. Physiol. 2001, 63:815. 10.1146/annurev.physiol.63.1.815, and.
28. Wu J.Y. Guan L. Tsau Y. J. Neurosci. 1999, 19:5005. and http://www.jneurosci.org/content/19/12/5005.short.
29. Bazhenov M. Rulkov N.F. Timofeev I. J. Neurophysiol. 2008, 100:1562. 10.1152/jn.90613.2008, and.
30. Honey C.J. Kotter R. Breakspear M. Sporns O. Proc. Natl. Acad. Sci. U.S.A. 2007, 104:10240. 10.1073/pnas.0701519104, and.
31. Humphries M.D. Gurney K. Prescott T.J. Proc. R. Soc. London B 2006, 273:503. 10.1098/rspb.2005.3354, and.
32. Van der Heuvel M.P. Neuroimage 2008, 43:528. 10.1016/j.neuroimage.2008.08.010,.
33. Lago-Fernàndez L.F. Huerta R. Corbacho F. Sigüenza J.A. Phys. Rev. Lett. 2000, 84:2758. 10.1103/PhysRevLett.84.2758, and.
34. Wang Q.Y. Duan Z.S. Perc M. Chen G.R. EPL 2008, 83:50008. 10.1209/0295-5075/83/50008, and.
35. Hong H. Choi M.Y. Kim B.J. Phys. Rev. E 2002, 65:026139. 10.1103/PhysRevE.65.026139, and.
36. Wu Y. Shang Y. Chen M. Zhou C. Kurths J. Chaos 2008, 18:037111. 10.1063/1.2939136, and.
37. Rothkegel A. Lehnertz K. Chaos 2009, 19:015109. 10.1063/1.3087432, and.
38. Gray C.M. König P. Engel A.K. Singer W. Nature 1989, 338:334. 10.1038/338334a0, and.
39. Perc M. Eur. J. Phys. 2006, 27:451. 10.1088/0143-0807/27/2/026.
40. Perc M. Chaos, Solitons Fractals 2007, 31:64. 10.1016/j.chaos.2005.09.021.
41. Wang Q. Perc M. Duan Z. Chen G. Phys. Rev. E 2009, 80:026206. 10.1103/PhysRevE.80.026206, and.
42. Wang Q. Chen G. Perc M. PLoS ONE 2011, 6:e15851. 10.1371/journal.pone.0015851.g001, and.
43. Wang Q. Perc M. Duan Z. Chen G. Physica A 2010, 389:3299. 10.1016/j.physa.2010.03.031, and.
44. Perc M. Marhl M. Phys. Lett. A 2006, 353:372. 10.1016/j.physleta.2005.12.107, and.
45. Ozer M. Perc M. Uzuntarla M. Phys. Lett. A 2009, 373:964. 10.1016/j.physleta.2009.01.034, and.
46. Perc M. Phys. Rev. E 2007, 76:066203. 10.1103/PhysRevE.76.066203.
47. Volman V. Perc M. New J. Phys. 2010, 12:043013. 10.1088/1367-2630/12/4/043013, and.
48. Rulkov N.F. Phys. Rev. Lett. 2001, 86:183. 10.1103/PhysRevLett.86.183.
49. Batista C.A. S. Lopes S.R. Viana R.L. Batista A.M. Neural Networks 2010, 23:114. 10.1016/j.neunet.2009.08.005, and.
50. Albert W.W. Wright E.J. Feinstein B. Nature 1969, 221:670. 10.1038/221670a0, and.
51. Timofeev I. Steriade M. Neuroscience 2004, 123:299. 10.1016/j.neuroscience.2003.08.051, and.
52. Benabid A.L. Benazzous A. Pollak P. Mov. Disord. 2002, 17:73. 10.1002/mds.v17:3. and.
53. Benabid A.L. Pollak P. Gervason C. Hoffmann D. Gao D.M. Hommel M. Perret J.E. de Rougemount J. Lancet 1991, 337:403. 10.1016/0140-6736(91)91175-T, and.