Averaging method via all numerical computation applied to weakly-nonlinear coupled oscillator systems

This paper proposes a totally-numerical method of averaging without derivation of the averaged equation. To check this method, we apply this algorithm to three and four asymmetrical coupled van der Pol oscillator systems which have been analyzed by conventional method of averaging in our previous paper. Comparing these two results, we have confirmed the validity of this method. The final purpose for which we develop this numerical algorithm is to analyze a large scale coupled oscillator systems via the averaging method in the near future