Bifurcation Analysis by Method of Complete Bifurcation Groups of the Driven System with Two Degrees of Freedom with Three Equilibrium Positions

Journal of Vibroengineering 2008
Vladislavs Jevstigņejevs, Mihails Zakrževskis, Igors Ščukins

This paper devoted to application of the new method of complete bifurcation groups (MCBG), which shows very good results in single-degree-of-freedom tasks, for global bifurcation analysis of systems with two degrees-of-freedom on example of two-mass chain system with symmetrical elastic characteristic with two potential wells between masses. It is shown, that using of the MCBG allows to implement global bifurcation analysis of nonlinear oscillators with 2 DOF, and to find new nonlinear effects, bifurcation groups, and unknown before periodic and chaotic regimes.

Keywords
two-degrees-of-freedom, driven system, bifurcation analysis, method of complete bifurcation groups, rare chaotic and regular attractors, fully unstable subharmonical isles

Jevstigņejevs, V., Zakrževskis, M., Ščukins, I. Bifurcation Analysis by Method of Complete Bifurcation Groups of the Driven System with Two Degrees of Freedom with Three Equilibrium Positions. Journal of Vibroengineering, 2008, Vol.10, iss.4, pp.519-528. ISSN 1392-8716.

Publication language
English (en)