The Method of Multiple Time Scales and Finite Differences Method for the van der Pol Oscillator with Small Fractional Damping
Asian Research Journal of Mathematics · pp. 1–11 · Published 24 Jan 2017
10.9734/ARJOM/2017/30865Abstract
In this paper, we consider the van der Pol oscillator with small fractional damping. To construct the approximate and numerical solutions of the equation, the method of multiple time scales and finite differences method are used, respectively. It is shown that the approximate solution is in good agreement with the numerical solution for weakly nonlinear case and the fractional derivative order has meaningful effects on natural frequencies of the oscillator.
Cited by 3
Ya-Ni Chen, Y. Qian · Mathematics · 2021
Zango Nkeutia Sylvain, Kamdoum Tamba Victor, G. B. Nkamgang · International Journal of Dynamics and Control · 2021
E. Petropoulou, M. Xenos · 2018
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