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
  • [21] Asymptotic Analytical Solutions Of A Two Coupled Duffing-Van Der Pol Oscillators Using THE Extended Homotopy Analysis Method
    Chen Sheng-min
    Duan Chun-mei
    2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 1614 - 1617
  • [22] Numerical solutions of stochastic Duffing-Van der Pol equations
    Hamed, Maha
    El-Kalla, I. L.
    El-Beltagy, Mohamed A.
    El-desouky, Beih S.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (01): : 256 - 273
  • [23] Investigations on the bifurcation of a noisy Duffing-Van der Pol oscillator
    Kumar, Pankaj
    Narayanan, S.
    Gupta, Sayan
    PROBABILISTIC ENGINEERING MECHANICS, 2016, 45 : 70 - 86
  • [24] Investigation on Dynamics of the Extended Duffing-Van der Pol System
    Yu, Jun
    Li, Jieru
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (5-6): : 341 - 346
  • [25] DUFFING-VAN DER POL-TYPE OSCILLATOR SYSTEMS
    Feng, Zhaosheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2014, 7 (06): : 1231 - 1257
  • [26] Numerical solutions of stochastic Duffing-Van der Pol equations
    Maha hamed
    I. L. El-Kalla
    Mohamed A. El-Beltagy
    Beih S. El-desouky
    Indian Journal of Pure and Applied Mathematics, 2024, 55 : 256 - 273
  • [27] Duffing-Van der pol系统的Hopf分岔
    符五久
    振动与冲击, 2010, 29 (07) : 204 - 209
  • [28] FIRST INTEGRALS FOR THE DUFFING-VAN DER POL TYPE OSCILLATOR
    Gao, Guangyue
    Feng, Zhaosheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, : 123 - 133
  • [29] Bifurcation scenarios of the noisy Duffing-van der Pol oscillator
    SchenkHoppe, KR
    NONLINEAR DYNAMICS, 1996, 11 (03) : 255 - 274
  • [30] Duffing-van der Pol系统的随机分岔
    李爽
    徐伟
    李瑞红
    力学学报, 2006, (03) : 429 - 432
12345