The extended homotopy analysis method (EHAM) is one method based on the HAM envisioned first by Liao .
In the present work, the exact analytical series solutions of the two-degree-of-freedom (2-DOF) coupled van der Pol-Duffing system are obtained by using the EHAM, and we also establish the comparisons between the results of the EHAM and standard Runge-Kutta numerical method.
In this section, we apply the EHAM for analysis of the two coupled van der Pol-Duffing oscillators:
We can define a nonlinear operator as the following by EHAM:
In the present paper, the EHAM approach is applied to get asymptotic analytical series solutions of 2-DOF van der Pol-Duffing oscillators with a nonlinear coupling.
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