Series solutions of coupled Van der Pol equation by means of homotopy analysis method

@article{Li2010SeriesSO,
  title={Series solutions of coupled Van der Pol equation by means of homotopy analysis method},
  author={Yajie Li and Ben T. Nohara and Shijun Liao},
  journal={Journal of Mathematical Physics},
  year={2010},
  volume={51},
  pages={063517}
}
In this paper, the homotopy analysis method (HAM) is used to give series solutions of self-exited oscillation systems governed by two Van der Pol equations, which are coupled by a linear and a cubic term. The frequency and amplitude of all possible periodic solutions are investigated. It is found that there exist either in-phase or out-of-phase periodic solutions only. Besides, the in-phase periodic oscillations are decoupled, whose periods and amplitudes have nothing to do with the linear and… 

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