ISSN 0869-6632 (Online)
ISSN 2542-1905 (Print)


Cite this article as:

Zaharov 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

Language: 
Russian

Dynamics of a small ensemble of hindmarsh – rose neurons under the action of a pulse train

Autors: 
Zaharov Denis Gennadevich, Institute of Applied Physics of the Russian Academy of Sciences
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.

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DOI: 
10.18500/0869-6632-2005-13-1-100-113
References: 

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.

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