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

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Molkov J. I., Sushik M. M., Kuznetsov A. S., Kozlov A. K., Zakharov D. G. The dynamical model of locomotor-like movements evoked by muscle vibration in humans. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 2, pp. 107-121. DOI: 10.18500/0869-6632-1999-7-2-107-121

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Russian
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517.9
DOI: 
10.18500/0869-6632-1999-7-2-107-121

The dynamical model of locomotor-like movements evoked by muscle vibration in humans

Autors: 
Molkov Jaroslav Igorevich, Institute of Applied Physics of the Russian Academy of Sciences
Sushik Mihail Mihajlovich, Lobachevsky State University of Nizhny Novgorod
Kuznetsov Aleksej Sergeevich, Saratov State University
Kozlov Aleksandr Konstantinovich, Lobachevsky State University of Nizhny Novgorod
Zakharov Denis Gennadevich, National Research University "Higher School of Economics"
Abstract: 

A phenomenological model of central pattern generator is proposed for qualitative description, within the framework of ftraditional concepts of motoneural and skeleto—muscular sysiem of human leg, of dynamics of spontancous stepping movements evoked by muscle vibration. In particular, it describes bistability of «forward» and «backward» stepping and chaotic transitions between them. The model consists of two self-excited oscillators with nonlinear coupling, the action of which resembles qualitatively the action of a combination of excitatory and inhibitory chemical couplings typical for neural networks. The analysis is made on the example of the interaction of two identical Van der Pol - Duffing generators.

Key words: 
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Acknowledgments: 
The authors are grateful to V.S. Gurfinkel, Y.S. Levik, O.B. Kazennikov, V.A. Selionov, and L.L. Rubchinsky for helpful discussions. This work was supported by the RFBR (grant RFBR-97-02-17526) and the Program for Support of Leading Scientific Schools of the Russian Federation (grant №. 96-15-96593).
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Received: 
24.02.1999
Accepted: 
06.05.1999
Published: 
03.07.1999
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