Bifurcation analysis by method of complete bifurcation groups of the driven system with two degrees of freedom with three equilibrium positions

被引：0

作者：

Yevstignejev, V. Yu. ^{[1
]}

Zakrzhevsky, M. V. ^{[1
]}

Schukin, I. T. ^{[2
]}

机构：

[1] Riga Tech Univ, Inst Mech, LV-1658 Riga, Latvia

[2] Riga Tech Univ, Daugavpils Branch, LV-5410 Daugavpils, Latvia

来源：

JOURNAL OF VIBROENGINEERING | 2008年 / 10卷 / 04期

关键词：

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

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

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.

引用

页码：519 / 528

页数：10

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