Spiking neuron models with excitatory or inhibitory synaptic couplings and synchronization phenomena

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 4, 2002, Pages 13-

  Sato, Yasuomi D ^a   Shiino, Masatoshi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; LINEAR EQUATIONS; PERTURBATION TECHNIQUES; SYNCHRONIZATION; SYSTEM STABILITY;

IONIC CHANNELS; LINEAR STABILITY; NEURONS; SYNAPTIC DYNAMICS;

NEURAL NETWORKS;

EID: 85036136730     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.041903     Document Type: Article

References (33)

1. C.M. Gray and W. Singer, Proc. Natl. Acad. Sci. U.S.A. 86, 1698 (1989).
2. C.M. Gray, P. König, A.K. Engel, and W. Singer, Nature (London) 338, 334 (1989).
3. A.K. Engel, P. König, and W. Singer, Proc. Natl. Acad. Sci. U.S.A. 88, 9136 (1991).
4. P. Fries, P.R. Roelfsema, A.K. Engel, P. König, and W. Singer, Proc. Natl. Acad. Sci. U.S.A. 94, 12699 (1997).
5. H. Golomb, D. Hansel, B. Shraiman, and H. Sompolinsky, Phys. Rev. A 45, 3516 (1992).
6. D. Hansel, G. Mato, and C. Meunier, Phys. Rev. E 48, 3470 (1993).
7. D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995).
8. K. Okuda, Physica D 63, 424 (1993).
9. R.C. Elson, A.I. Selverston, R. Huerta, N.F. Rulkov, M.I. Rabinovich, and H.D.I. Abarbanel, Phys. Rev. Lett. 81, 5692 (1998).
10. R. Herrero, M. Figueras, J. Rius, F. Pi, and G. Orriols, Phys. Rev. Lett. 84, 5312 (2000).
11. R.D. Pinto, P. Varona, A.R. Volkovskii, A. Szües, H.D.I. Abarbanel, and M.I. Rabinovich, Phys. Rev. E 62, 2644 (2000).
12. X.J. Wang and G. Buzsáki, J. Neurosci. 16, 6402 (1996).
13. X.J. Wang and J. Rinzel, Neural Comput. 4, 84 (1992).
14. X.J. Wang and J. Rinzel, Neuroscience 53, 899 (1993).
15. D. Golomb, X.J. Wang, and J. Rinzel, J. Neurophysiol. 72, 1109 (1994).
16. C. Van Vreeswijk, L.M. Abbott, and G.B. Ermentrout, J. Comput. Neurosci. 1, 1313 (1994).
17. S. Kim, H. Kook, S.G. Lee, and H.M. Park, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 731 (1998).
18. S. Kim, H. Kook, and J.H. Shin, The Statistical Mechanics Perspective, edited by J.H. Oh, C. Kown, and S. Cho (World Scientific, Singapore, 1995), p. 141.
19. S.G. Lee, S. Kim, and H. Kook, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 889 (1997).
20. T. Yoshinaga, Y. Sano, and H. Kawakami, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 1451 (1999).
21. K. Tsumoto, T. Yoshinaga, and H. Kawakami, Int. J. Bifurcation and Chaos (to be published).
22. G. Renversez, Physica D 114, 114 (1998).
23. D. Somers and N. Kopell, Biol. Cybern. 68, 393 (1993).
24. T. Ohta, A. Ito, and A. Tetsuka, Phys. Rev. A 42, 3225 (1990).
25. T. Ohta and H. Nakazawa, Phys. Rev. A 45, 5504 (1992).
26. R. Kobayashi, T. Ohta, and Y. Hayase, Phys. Rev. E 50, R3291 (1994).
27. D. Ruwisch, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 1969 (1999).
28. D. Terman and D.L. Wang, Physica D 81, 148 (1995).
29. D. Terman and E. Lee, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 57, 252 (1997).
30. D. Terman, N. Kopell, and A. Bose, Physica D 117, 241 (1998).
31. S.R. Campbell and D.L. Wang, Physica D 111, 151 (1998).
32. D.L. Wang, Wiley Encyclopedia of Electrical and Electronics Engineering, edited by J.G. Webster (Wiley, New York, 1999), p. 396.
33. A. Bose, V. Booth, and M. Recce, J. Comput. Neurosci. 9, 5 (2000).