中文摘要：

我们处于增长泛音平衡(IHB ) 推出了一个重复计划用加 Newton-Raphson 方法的泛音平衡的方法。因为重复的集中依赖于在重复的起始的价值，会聚的区域极大地为一些案例被限制。在这贡献，以便扩大 IHB 方法的会聚的区域，我们用 homotopy 分析方法， IHB 方法在被采用作为活跃增长与一个嵌入的参数解决变丑方程构造了 zeroth 顺序变丑方程。拿作为例子未击中和货车 der Pol 方程，我们获得了高度精确的答案。重要地，介绍途径显示一个方便方法控制并且调整集中。

英文摘要：

We have deduced incremental harmonic balance an iteration scheme in the （IHB） method using the harmonic balance plus the Newton-Raphson method. Since the convergence of the iteration is dependent upon the initial values in the iteration, the convergent region is greatly restricted for some cases. In this contribution, in order to enlarge the convergent region of the IHB method, we constructed the zeroth-order deformation equation using the homotopy analysis method, in which the IHB method is employed to solve the deformation equation with an embedding parameter as the active increment. Taking the Duffing and the van der Pol equations as examples, we obtained the highly accurate solutions. Importantly, the presented approach renders a convenient way to control and adjust the convergence.