Title: Periodically stimulated remodelling of a muscle fibre: perturbation analysis of a simple system of first-order ODEs
Authors: Rosenberg, Josef
Byrtus, Miroslav
Citation: Applied and Computational Mechanics. 2012, vol. 6, no. 1, p. 53-64.
Issue Date: 2012
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/168/159
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: neautonomní dynamický systém;svalová vlákna;multiškálová metoda;Hopfova bifurkace;chaos
Keywords in different language: dynamic non-autonomous system;muscle fibres;multi-scale method;Hopf’s bifurcation;chaos
Abstract: The paper deals with the dynamical analysis of the system of first-order ODE’s describing the isometric stimulation of the muscle fibre. This system is considered to be a non-autonomous one having the periodical excitation. For the analysis of dynamical behaviour the system the multiple scale method (MSM) is employed. The main goal of this contribution is to show the application of MSM to the non-autonomous dynamical system using the first order approximation of the solution. The existence of the degenerated Hopf’s bifurcation of the gained solution is presented.
Rights: © 2012 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 6, number 1 (2012)
Články / Articles (KME)
Volume 6, number 1 (2012)

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