General Perturbational Solution of the Harmonically Forced van der Pol Equation

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Abstract
Some formal techniques for the study of nonlinear oscillations are illustrated through a development of a general perturbational solution of the harmonically forced van der Pol equation. These techniques provide for the study of perturbations of nearly linear oscillations in almost complete generality. The intricate resonance problems associated with small divisors, and in this case leading to the entrainment phenomena, are treated with unusual ease and serve to illustrate both the versatility and the generality of the techniques.
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