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: Ahmet Y?ld?r?m Dahong Zhang Hüseyin Ko?ak Karem Boubaker Syed Tauseef Mohyud-Din
• 来源期刊: 电路与系统(英文)
• 学科: 数学
• 关键词: Van-der-Pol’s Oscillating CIRCUIT Delayed Feedback Damping BPES HPEM Exact Solutions Electrical Triode-Valve CIRCUIT
• 年，卷（期）: 2011,（3）
• 页码范围: 196-200
• 页数: 5页
• 分类号: O1

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.