Bifurcations and chaos in the triple-well Φ6-Van der Pol oscillator driven by external and parametric excitations

被引：51

作者：

Siewe, MS ^{[1
]}

Kakmeni, FMM ^{[1
]}

Tchawoua, C ^{[1
]}

Woafo, P ^{[1
]}

机构：

[1] Univ Yaounde I, Lab Mecan, Dept Phys, Fac Sci, Yaounde, Cameroon

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 357卷 / 3-4期

关键词：

bifurcation and chaos; parametric excitation; control of chaos;

D O I：

10.1016/j.physa.2005.06.070

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The chaotic behavior of a nonlinear damped three-well Phi(6)-Van der Pol oscillator under external and parametric excitations is studied in detail by means of Melnikov's analysis. The predictions are tested against numerical simulations based on the basin of attraction of initial conditions. It is found that the threshold for the onset of chaos in the system increases as the amplitude of the parametric excitation decreases and increases as the amplitude of the external forcing increases. Additionally, the onset of chaos is studied through analysis of the Poincare map, a construction of the bifurcation diagrams and a computation of the maximal Lyapunov exponent. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：383 / 396

页数：14

共 25 条

[1]

[Anonymous], DYN STAB SYST

[2] Suppression of chaos in averaged oscillator driven by external and parametric excitations [J].