A study of homotopy analysis method for limit cycle of van der Pol equation
A study of homotopy analysis method for limit cycle of van der Pol equation
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DOI：
10.1016/j.cnsns.2008.07.010
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发表时间：
2009-05
影响因子：
3.9
通讯作者：
Y. M. Chen;J. Liu
中科院分区：
文献类型：
--
作者：
Y. M. Chen;J. Liu
货车der Pol方程极限环的同伦分析方法计算量大。为了减少计算工作量，我们构造的变形方程使用不同的初始条件，从那些在现有的文献。计算工作量大大减少。计算得到的极限环的幅值和频率与精确解吻合得很好。
The homotopy analysis method for limit cycle of the van der Pol equation is computationally extensive. Aiming at reducing the computational efforts, we construct the deformation equations using different initial conditions from those in the existing literature. The computational efforts are significantly reduced. And, the calculated amplitude and frequency of the limit cycle are in excellent agreement with the exact solutions.