DYNAMICS OF A SMALL ENSEMBLE OF HINDMARSH – ROSE NEURONS UNDER THE ACTION OF A PULSE TRAIN


Cite this article as:

Zakharov D. G. DYNAMICS OF A SMALL ENSEMBLE OF HINDMARSH – ROSE NEURONS UNDER THE ACTION OF A PULSE TRAIN. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 1, pp. 100-113. DOI: https://doi.org/10.18500/0869-6632-2005-13-1-100-113


The influence of a pulse train on the dynamics of unidirectly nonlinearly coupled Hindmarsh-Rose neurons is investigated. The synchronization of the spike-generating neuron by the periodical pulse train is studied. Information and dynamical aspects of burst generation under the action of a pulse train with irregular interpulse intervals are analyzed. It is shown that the backward burst-to-spike transformation by the neuron at rest is possible. Dynamic unreliability during the spike-to-burst transformation is explained qualitatively.

Key words: 
-
DOI: 
10.18500/0869-6632-2005-13-1-100-113
Literature

1. Zakharov D.G. Influence of inhibitory pulse train on a pacemaker Hindmarsh- Rose neuron // In the Proceedings of the International Symposium «Topical Problems of Nonlinear Wave Physics» (NWP-2003), 2003. P. 133.

2. Сконженко А.Л., Красичков Л.Б. Распространение импульсов в цепочке элементов с нейроноподобной динамикой // Известия Академии наук. Серия физическая. 2003. Т. 67, No 12. С. 1697.

3. Kazantsev V.B., Nekorkin V.I. Dynamic of oscillatory neurons. Information aspects // In book «Nonlinear waves 2002» / Edited by A.V. Gaponov-Grekhov and V.I. Nekorkin. 2003. P. 9.

4. Pinto R.D. et. al. Synchronous behavior of two coupled electronic neurons // Phys. Rev. E. 2000. Vol. 62. P. 2644.

5. Binczak S., Kazantsev V.B., Nekorkin V.I., and Bilbault J.M. Experimental study of bifurcations in a modified FitzHugh-Nagumo cell // Electronic Letters. 2003. Vol. 39, No 13. P. 961.

6. Борисюк Г.Н., Борисюк Р.М., Казанович Я.Б. и Иваницкий Г.Р. Модели динамики нейронной активности при обработке информации мозгом - итоги десятилетия // Успехи физ. наук. 2002. Vol. 172, No 10. P. 1189.

7. Egua M.C., Rabinovich M.I., and Abarbanel H.D.I. Recovery of hidden information // Phys. Rev. E. 2000. Vol. 62. P. 7111.

8. Wang X.-J. Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle // Physica D. 1993. Vol. 62. P. 263.

9. Destexhe A., Mainen Z.F., and Sejnowski T.J. An efficient method for compuing synaptic conductances based on a kinetic model of receptor binding // Neural Computation. 1994. Vol. 6. P. 14.

Status: 
одобрено к публикации
Short Text (PDF): 
Full Text (PDF): 

BibTeX

@article{Захаров -IzvVUZ_AND-13-1-100,
author = {D. G. Zakharov},
title = {DYNAMICS OF A SMALL ENSEMBLE OF HINDMARSH – ROSE NEURONS UNDER THE ACTION OF A PULSE TRAIN},
year = {2005},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {13},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/dynamics-of-small-ensemble-of-hindmarsh-rose-neurons-under-the-action-of-pulse-train},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2005-13-1-100-113},pages = {100--113},issn = {0869-6632},
keywords = {-},
abstract = {The influence of a pulse train on the dynamics of unidirectly nonlinearly coupled Hindmarsh-Rose neurons is investigated. The synchronization of the spike-generating neuron by the periodical pulse train is studied. Information and dynamical aspects of burst generation under the action of a pulse train with irregular interpulse intervals are analyzed. It is shown that the backward burst-to-spike transformation by the neuron at rest is possible. Dynamic unreliability during the spike-to-burst transformation is explained qualitatively. }}