Dynamical changes from harmonic vibrations of a limited power supply driving a Duffing oscillator

被引：8

作者：

Nbendjo, B. R. Nana ^{[1
]}

Caldas, I. L. ^{[2
]}

Viana, R. L. ^{[3
]}

机构：

[1] Univ Yaounde I, Lab Modelling & Simulat Engn & Biomimet & Prototy, Yaounde, Cameroon

[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil

[3] Univ Fed Parana, Dept Fis, BR-81531990 Curitiba, Parana, Brazil

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 01期

关键词：

Non-ideal system; Averaging method; Lyapunov spectrum; Bifurcation diagram;

D O I：

10.1007/s11071-012-0463-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The harmonic oscillations of a Duffing oscillator driven by a limited power supply are investigated as a function of the alternative strength of the rotor. The semi-trivial and non-trivial solutions are derived. We examine the stability of these solutions and then explore the complex behaviors associated with the bifurcations sequences. Interestingly, a 3D diagram provides a global view of the effects of alternate strength on the appearance of chaos and hyperchaos on the system.

引用

页码：401 / 407

页数：7

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