HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION

被引：0
|
作者：
Moussa, Bagayogo [1 ]
Youssouf, Minoungou [2 ]
Wassiha, Nebie Abdoul [3 ]
Youssouf, Pare [3 ]
机构：
[1] Univ Joseph KI ZERBO, Ctr Univ Kaya, Ouagadougou, Burkina Faso
[2] Ecole Normale Super ENS, Koudougou, Burkina Faso
[3] Univ Joseph KI ZERBO, Ouagadougou, Burkina Faso
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2024年 / 31卷 / 03期
关键词：
Duffing-Van der Pol equation; homotopy perturbation method; regular perturbation method;
D O I：
10.17654/0974324324016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Homotopy Perturbation Method (HPM) and the Regular Perturbation Method (RPM) are used to study Duffing-Van der Pol equation. Then we compare the solutions obtained by these two methods.
引用
收藏
页码：299 / 315
页数：17
相关论文
共 50 条
  • [31] The Residue Harmonic Balance Method for Duffing-Van Der Pol Oscillator with Fractional Derivative
    Xue, Xin
    Li, Lianzhong
    Sun, Dan
    ADVANCED TECHNOLOGIES IN MANUFACTURING, ENGINEERING AND MATERIALS, PTS 1-3, 2013, 774-776 : 103 - 106
  • [32] BIFURCATIONS OF PERIODIC SOLUTIONS AND CHAOS IN DUFFING-VAN DER POL EQUATION WITH ONE EXTERNAL FORCING
    Yang, Zhiyan
    Jiang, Tao
    Jing, Zhujun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (04): : 405 - 431
  • [33] Control and synchronization in the Duffing-van der Pol and F6 Duffing oscillators
    Uriostegui-Legorreta, U.
    Tututi, E. S.
    INDIAN JOURNAL OF PHYSICS, 2023, 97 (14) : 4303 - 4315
  • [34] 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
  • [35] Statistical dynamics at critical bifurcations in Duffing-van der Pol oscillator
    Chinnathambi, V
    Rajasekar, S
    PRAMANA-JOURNAL OF PHYSICS, 1999, 52 (06): : 561 - 577
  • [36] 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
  • [37] 双势阱Duffing-Van der Pol系统反馈同步
    张香伟
    王建平
    河南科学, 2010, 28 (10) : 1225 - 1229
  • [38] Stochastic stability and control of coupled Duffing-van der Pol systems
    Li, W
    Xu, W
    Zhao, JF
    Jin, YF
    ACTA PHYSICA SINICA, 2005, 54 (12) : 5559 - 5565
  • [39] 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)
  • [40] Lyapunov exponents and stability for the stochastic duffing-van der Pol oscillator
    Baxendale, PH
    IUTAM SYMPOSIUM ON NONLINEAR STOCHASTIC DYNAMICS, 2003, 110 : 125 - 135
12345