The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain

In this paper, we substantiate the analytical approximate method for Cauchy problem of Van der Pol equation in complex domain. These solutions allow continuation both real and cases. We follow influence variation initial data order to control computational process improve accuracy final results. Several simple applications are given. A numerical study confirms consistency developed method.