1、The homotopy algorithm, basing on homotopy mapping, is convergent with wide range.
基于同倫映射的同倫算法，具有大范圍收斂性。

2、Using the homotopy mapping theory, a class of nonlinear problems were studied.
利用同倫映射理論，本文研究了一類非線性問題。

3、Using the homotopy analysis method, the approximation of the solution for the model was obtained.
利用同倫分析方法，得到了該模型解的近似展開式。

4、Using the homotopy analysis method, the approximation solution is obtained.
利用同倫分析方法，得到了該模型的近似解。

5、Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.
基于同倫映射的思想，改進了求解非線性反問題的梯度正則化算法。

6、This paper deals with the problem of identifying ARMAX model using homotopy approach.
論述了采用同倫法辨識armax模型的問題。

homotopy翻譯