Article citationsMore>>

J. H. He, “Determination of Limit Cycles for Strongly Nonlinear Oscillators,” Physical Review Letters, Vol. 90, No. 17, 2003, pp. 1-11. doi:10.1103/PhysRevLett.90.174301

has been cited by the following article:

• 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.