Geodesic
The problem of berst influence on the generalized automatic neuron
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 3, pp. 43-49.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new model of the neuron cell - the generalized automatic neuron (GAN) is considered. This model has an universal character. It combines properties of neuron-oscillator and neuron-detector. The problem of berst influence on the generalized automatic neuron is raised and solved. 
@article{MAIS_2007_14_3_a3,
     author = {E. V. Konovalov},
     title = {The problem of berst influence on the generalized automatic neuron},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {43--49},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_3_a3/}
}
TY  - JOUR
AU  - E. V. Konovalov
TI  - The problem of berst influence on the generalized automatic neuron
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 43
EP  - 49
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_3_a3/
LA  - ru
ID  - MAIS_2007_14_3_a3
ER  - 
%0 Journal Article
%A E. V. Konovalov
%T The problem of berst influence on the generalized automatic neuron
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 43-49
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_3_a3/
%G ru
%F MAIS_2007_14_3_a3
E. V. Konovalov. The problem of berst influence on the generalized automatic neuron. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 3, pp. 43-49. http://geodesic.mathdoc.fr/item/MAIS_2007_14_3_a3/

[1] E. V. Konovalov, “Organizatsiya kolebanii v koltse, sostoyaschem iz obobschennykh neironnykh kletochnykh avtomatov vozbuditelnogo tipa”, Sovremennye problemy matematiki i informatiki, 8, YarGU, Yaroslavl, 2006, 52–56

[2] V. V. Maiorov, E. V. Konovalov, “Obobschennyi neironnyi avtomat v zadache rasprostraneniya volny vozbuzhdeniya po neironnoi seti”, Sbornik nauchnykh trudov IX Vserossiiskoi nauchno-tekhnicheskoi konferentsii «Neiroinformatika-2007», Ch. 3, MIFI, M., 2007, 124–131

[3] V. V. Maiorov, E. V. Konovalov, “Obobschennyi neironnyi avtomat v zadache rasprostraneniya volny vozbuzhdeniya po neironnoi seti”, Neirokompyuter, no. 7, Radiotekhnika, M., 2007, 3–8

[4] E. V. Konovalov, “Ustoichivyi kolebatelnyi rezhim v neironnoi seti obobschennykh neironnykh avtomatov-detektorov”, Modelirovanie i analiz informatsionnykh sistem, 14:2 (2007), 30–35

[5] V. I. Kryukov, G. N. Borisyuk, R. M. Borisyuk, A. B. Kirillov, E. I. Kovalenko, Metastabilnye i neustoichivye sostoyaniya v mozge, NTsBI AN SSSR, Puschino, 1986, 112 pp.

[6] V. V. Maiorov, I. Yu. Myshkin, “Ob odnoi modeli funktsionirovaniya neironnoi seti”, Model. dinam. popul., N. Novgorod, 1990, 70–78

[7] V. V. Maiorov, I. Yu. Myshkin, “Matematicheskoe modelirovanie neironov seti na osnove uravnenii s zapazdyvaniem”, Matematicheskoe modelirovanie, 2:11 (1990), 64–76 | MR

[8] N. Viner, A. Rozenblyut, “Provedenie impulsov v serdechnoi myshtse”, Kiberneticheskii sbornik, 3, Izd-vo inostrannoi literatury, M., 1961, 3–56

[9] J. J. Hopfield, “Neural networks and physical systems mith emergent collective computational abilities”, Proc. Nat. Acad. Sci. USA, 79 (1982), 2554–2558 | DOI | MR

[10] V. V. Maiorov, G. V. Shabarshina, “Soobschenie o setyakh W-neironov”, Modelirovanie i analiz informatsionnykh sistem, 4 (1997), 37–50

[11] A. L. Hodgkin, A. F. Huxely, “A quantitative description of membrane current and its applications to conduction and excitation in nerve”, J. Physiol. London, 117 (1952), 500–544

[12] J. L. Hindmarsh, R. M. Rose, “A model of neuronal bursting using three coupled first order differential equations”, Proc. R. Soc. Ser. B Biol. Sci. London, 221 (1984), 87–102 | DOI

[13] R. A. FitzHugh, “Impulses and physiological states in theoretical models of nerve membrane”, Biophys. J., 1 (1961), 445–466 | DOI

[14] J. S. Nagumo, S. Arimoto, S. Yoshizawa, “An active pulse transmission line simulating nerve axon”, Proc. Ire, 50 (1962), 2061–2070 | DOI

[15] S. Omata, Y. Yamaguchi, H. Shimuzi, “Entrainment among coupled limit cycle oscillator with frustration”, Physica D, 31 (1988), 397–408 | DOI | MR | Zbl

[16] H. R. Wilson, J. D. Cowan, “Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons”, Biophysical J., 12 (1972), 1–24 | DOI

[17] G. V. Shabarshina, “Provedenie vozbuzhdeniya po koltsevoi strukture neironnykh kletochnykh avtomatov”, Modelirovanie i analiz informatsionnykh sistem, 1994, no. 2, 116–121