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

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.

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H. Koçak, A. Yıldırım, D. Zhang, K. Boubaker and S. Mohyud-Din, "A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method (HPEM) and (BPES)," Circuits and Systems, Vol. 2 No. 3, 2011, pp. 196-200. doi: 10.4236/cs.2011.23028.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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