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Asymptotic Analytical Solutions of a Two Coupled Duffing-Van Der Pol Oscillators Using the Extended Homotopy Analysis Method

We consider a two coupled Duffing-van der Pol oscillators with a nonlinear coupling in this paper. The extended homotopy analysis method (EHAM) is used to obtain the asymptotic analytical series solutions of the system. Meanwhile, we establish the comparisons between the results of the EHAM and standard Runge-Kutta numerical method and good agreement is obtained.