Abstract：A modified Newton-harmonic balance method is used to construct analytical approximate periods and periodic solutions to the singular oscillator describing certain phenomena in plasma physics. The Newton-harmonic balance method is modified by rewriting the original control equation and selecting the simple and suitable correction terms. Two new analytical approximate solutions obtained in this paper are effective for the whole range of initial oscillation amplitudes and parameters, and they can rapidly converge to exact solution. The percentage errors between two new analytical approximate periods and the exact one are lower than 0.92% and 0.09%, respectively, and the latter is more accurate than the existing results.
2009, Vol. 28 
