A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method(HPEM)and(BPES)  

作　　者：Huseyin Kocak Ahmet Yildirim Dahong Zhang Karem Boubaker Syed Tauseef Mohyud-Din 

机构地区：[1]Department of Mathematics,Ege University,Bornova–Izmir,Turkey [2]Department of Physics,South China University,Guangzhou,China [3]Ecole Superieure des Sciences et Techniques de Tunis,University of Tunis,Tunis,Tunisia [4]Department of Basic Sciences,HITEC University,Taxila Cantt,Pakistan

出　　处：《Circuits and Systems》2011年第3期196-200,共5页电路与系统（英文）

摘　　要：In this paper, the He’s parameter-expanding method (HPEM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES) are used in order to obtain analytical solutions to the non-linear modified Van der Pol’s oscillating circuit equation. The resolution protocols are applied to the ordinary Van der Pol equation, which annexed to conjoint delayed feedback and delay-related damping terms. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy.In this paper, the He’s parameter-expanding method (HPEM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES) are used in order to obtain analytical solutions to the non-linear modified Van der Pol’s oscillating circuit equation. The resolution protocols are applied to the ordinary Van der Pol equation, which annexed to conjoint delayed feedback and delay-related damping terms. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy.

关 键 词：Van-der-Pol’s Oscillating Circuit Delayed Feedback Damping BPES HPEM Exact Solutions Electrical Triode-Valve Circuit 

分 类 号：O1[理学—数学]