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

For citation:

Nekorkin V. I., Artyuhin D. V. Regular and chaotic oscillations in a system composed of two coupled, drastically different FitzHugh - Nagumo elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 6, pp. 45-68. DOI: 10.18500/0869-6632-2001-9-6-45-68

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.244
DOI: 
10.18500/0869-6632-2001-9-6-45-68

Regular and chaotic oscillations in a system composed of two coupled, drastically different FitzHugh - Nagumo elements

Autors: 
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Artyuhin Dmitrij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

A dynamic model of inferior olive neurons possessing periodic relaxation oscillations below the excitation threshold is proposed. The model is a system of two linearly coupled, drastically different FitzHugh - Nagumo elements. In the absence of coupling one element is in excitable mode and the other one exhibits periodic relaxation oscillations. We have shown that dynamics of the system can be described with onedimensional Poincare map. We were interested in regimes which have the prototypes in real electrophysiological experiments. We have established, that model shows a good qualitative agreement with experimental data obtained in inferior olive neurons.

Key words: 
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Acknowledgments: 
The authors are grateful to V.B. Kazantsev for his valuable comments. The work was support by the RFBR, grant № 00-02-16400 and № 01-02-06355.
Reference: 

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Received: 
04.06.2001
Accepted: 
08.11.2001
Published: 
30.04.2002
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