Application of Software SPRING and Method of Complete Bifurcation Groups for the Bifurcation Analysis of Nonlinear Dynamical System

Journal of Vibroengineering 2008
Igors Ščukins, Mihails Zakrževskis, Jurijs Ivanovs, Viktor Kugelevich, Vladislav Malgin, Valentin Frolov

The article is devoted to the parametrical analysis of periodic and chaotic oscillations in the nonlinear dynamical systems. Description of the systematic approach to the construction of bifurcation diagrams is offered to your attention. Considered approach allows us to build complete bifurcation diagrams. These diagrams allow to find and investigate regimes, analysis of which is inaccessible by traditional methods. Such approach is used in the method of complete bifurcation groups and realized in the software SPRING. Description of method of complete bifurcation groups and results of using of this method for the parametric analysis of the nonlinear dynamic systems is presented in this article.

Keywords
numerical simulation, bifurcation, complete bifurcation diagram, bifurcation group, bifurcation map

Ščukins, I., Zakrževskis, M., Ivanovs, J., Kugelevich, V., Malgin, V., Frolov, V. Application of Software SPRING and Method of Complete Bifurcation Groups for the Bifurcation Analysis of Nonlinear Dynamical System. Journal of Vibroengineering, 2008, Vol.10, Iss.4, pp.510-518. ISSN 1392-8716.

Publication language
English (en)