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

نویسندگان

  • Hüseyin Koçak
  • Ahmet Yildirim
  • Dahong Zhang
  • Karem Boubaker
  • Syed Tauseef Mohyud-Din
چکیده

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.

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عنوان ژورنال:
  • Circuits and Systems

دوره 2  شماره 

صفحات  -

تاریخ انتشار 2011