Access Restriction

Author Zakharov, D.G. ♦ Sushchik, M.M. ♦ Molkov, Y.I.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2000
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Parameter estimation ♦ State estimation ♦ Nervous system ♦ Rhythm ♦ Couplings ♦ Control systems ♦ Legged locomotion ♦ Muscles ♦ Chaos ♦ Oscillators
Abstract The ultimate goal of this research is finding phenomenological parameters for correct estimation of the state of the nervous system controlling locomotor rhythm. As a first step we propose to use parameters of a dynamical system that models central pattern generator (CPG) of locomotor rhythm. Such a system gives qualitative description of dynamics of involuntary walking movements evoked by muscle vibration, in particular, bistability of regimes of forward and backward stepping and chaotic switchings between them. We demonstrate that, under certain conditions, such a system gives not only qualitative but also quantitative description, which enables one to use its parameters for correct estimation of the state of nervous system. Specific analysis reduces to considering the interaction of two identical Van der Pol-Duffing oscillators with nonlinear coupling the action of which qualitatively resembles combined action of excitatory and inhibitory couplings typical of neural networks. Within the framework of this model, switching of the regimes of forward and backward stepping observed in experiments is analogous to type-I intermittency (following the Pomeau-Manneville classification) but modified to the conditions of symmetry of the system under consideration. It was found that introduction of weak noise does not lead to a change of qualitative details of the oscillograms describing spontaneous transitions between the regimes. At the same time, the scalings of durations of these regimes between transitions change notably from the dependence typical of type-I intermittency to the dependence corresponding to on-off intermittency.
Description Author affiliation: Inst. of Appl. Phys., Acad. of Sci., Nizhny Novgorod, Russia (Zakharov, D.G.)
ISBN 0780364341
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2000-07-05
Publisher Place Russia
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 393.57 kB
Page Count 4
Starting Page 457
Ending Page 460

Source: IEEE Xplore Digital Library