Strange attractors and chaos control in a Duffing-Van der Pol oscillator with two external periodic forces

被引：33

作者：

Kakmeni, FMM

Bowong, S

Tchawoua, C

Kaptouom, E

机构：

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

[2] Univ Metz, ISGMP, F-57045 Metz 01, France

[3] INRIA Lorraine, Projet Conge, F-57045 Metz 01, France

[4] Univ Yaounde 1, Ecole Natl Super Polytech, Yaounde, Cameroon

来源：

JOURNAL OF SOUND AND VIBRATION | 2004年 / 277卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2003.09.051

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An anharmonic Duffing-Van der Pol oscillator with two external forces is considered. By applying numerical results, strange attractors are presented and the chaotic behaviour is investigated. The problem of directing a chaotic state of the system to a periodic orbit is studied. By assuming that the exact model of the system is not known and that the position is the only state available for measurements, the controller comprises a linearizing-like feedback and an estimator. Simulations are provided to illustrate the performance of the controller. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：783 / 799

页数：17

共 18 条

[1]

CHUA LO, 1996, INT J BIFURCATION CH, V6

[2]

FEMAT R, IEEE CIRCUITS SYST 1, V46, P1150

[3] THE PHYSIOLOGY OF PERCEPTION [J].