| 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 article |
| URI: | http://www.kme.zcu.cz/acm/index.php/acm/article/view/168/159 http://hdl.handle.net/11025/1307 |
| 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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