A wide spectrum of references has been devoted to the averaging method [180, 592, 706]. Although the roots of the method come from pioneering works of H. Poincaré and B. Van der Pol, the kernel has been developed by the works of N. Krylov and N.N. Bogolyubov. In general, the averaging method uses splitting of fast and slow solution components. Assume that a solution to a certain problem has the form shown in Figure 8.1.
KeywordsAverage Method Power Series Form Duffing Equation Relaxation Kernel Hausdorff Formula
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