Published: 31 December 2008

Realization of direct methods and algorithms for global analysis of nonlinear dynamical systems

I. T. Schukin1
M. V. Zakrzhevsky2
Yu. M. Ivanov3
V. V. Kugelevich4
V. E. Malgin5
V. Yu. Frolov6
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Abstract

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

About this article

Received
29 September 2008
Accepted
02 December 2008
Published
31 December 2008
Keywords
numerical simulation
bifurcation
complete bifurcation diagram
bifurcation group
bifurcation map