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

被引：32
|
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
收藏
页码：783 / 799
页数：17
相关论文
共 50 条
  • [21] Bifurcations and Chaos of Duffing-van der Pol Equation with Nonsymmetric Nonlinear Restoring and Two External Forcing Terms
    Yang, Zhiyan
    Jiang, Tao
    Jing, Zhujun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (03):
  • [22] Response of the Duffing-van der Pol oscillator under position feedback control with two time delays
    Li, Xinye
    Zhang, Huabiao
    Zhang, Lijuan
    SHOCK AND VIBRATION, 2011, 18 (1-2) : 377 - 386
  • [23] Chaos analysis for a class of impulse Duffing-van der Pol system
    Li, Shuqun
    Zhou, Liangqiang
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2023, 78 (05): : 395 - 403
  • [24] Statistical dynamics at critical bifurcations in Duffing-van der Pol oscillator
    Chinnathambi, V
    Rajasekar, S
    PRAMANA-JOURNAL OF PHYSICS, 1999, 52 (06): : 561 - 577
  • [25] Response of a stochastic Duffing-Van der Pol elastic impact oscillator
    Wang, Liang
    Xu, Wei
    Li, Gaojie
    Li, Dongxi
    CHAOS SOLITONS & FRACTALS, 2009, 41 (04) : 2075 - 2080
  • [26] Statistical dynamics at critical bifurcations in Duffing-van der Pol oscillator
    V. Chinnathambi
    S. Rajasekar
    Pramana, 1999, 52 : 561 - 577
  • [27] Complex Dynamics in a Duffing-Van der Pol Oscillator with φ6 Potential
    Yu, Jun
    Xie, Zhi-kun
    Yu, Li-xian
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2008, 77 (11)
  • [28] Lyapunov exponents and stability for the stochastic duffing-van der Pol oscillator
    Baxendale, PH
    IUTAM SYMPOSIUM ON NONLINEAR STOCHASTIC DYNAMICS, 2003, 110 : 125 - 135
  • [29] Coexistence of periodic, almost-periodic and chaotic attractors in the van der Pol-Duffing oscillator
    Inst of Fundamental Technological, Research, Warsaw, Poland
    J Sound Vib, 2 (165-175):
  • [30] Bifurcation and chaos in the double-well Duffing-van der Pol oscillator: Numerical and analytical studies
    Venkatesan, A
    Lakshmanan, M
    PHYSICAL REVIEW E, 1997, 56 (06) : 6321 - 6330
12345