TITLE:
A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method (HPEM) and (BPES)
AUTHORS:
Hüseyin Koçak, Ahmet Yıldırım, Dahong Zhang, Karem Boubaker, Syed Tauseef Mohyud-Din
KEYWORDS:
Van-der-Pol’s Oscillating Circuit, Delayed Feedback, Damping, BPES, HPEM, Exact Solutions, Electrical Triode-Valve Circuit
JOURNAL NAME:
Circuits and Systems,
Vol.2 No.3,
July
29,
2011
ABSTRACT: 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.