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

For citation:

Andreev K. V., Krasichkov L. V. Sаmе peculiarities оf synchronization under changing thе connection structure in small model neuron ensembles, described by piecewise continuous maps and piecewise discontinuous maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 4, pp. 82-94. DOI: 10.18500/0869-6632-2002-10-4-82-94

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
53.072:51
DOI: 
10.18500/0869-6632-2002-10-4-82-94

Sаmе peculiarities оf synchronization under changing thе connection structure in small model neuron ensembles, described by piecewise continuous maps and piecewise discontinuous maps

Autors: 
Andreev Kirill Vladimirovich, Saratov State University
Krasichkov L. V., Saratov State University
Abstract: 

The piecewise-linear stochastic map, the piecewise-continuous dynamic map and piecewise-discontinuous dynamic map, for electrical activity modeling of neuron are proposed. These maps are constructed using the phenomenological notions of biological neuron dynamics. Advantages and limitations of the proposed maps are discussed. The behaviour оf small model neuron ensembles оn the parameters plane is investigated. Considerable dependence between the synchronization degree and the topology of neuron ensemble is shown.

Key words: 
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Acknowledgments: 
The work was carried out with the support of the RFBR, grant number 02-02-16351, 00-15-96673, the Ministry of Education of the Russian Federation, grant № E00-3.5-196 and CRDF, REC-006.
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Received: 
01.08.2002
Accepted: 
10.09.2002
Available online: 
19.01.2024
Published: 
30.12.2002
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