中文摘要：

为提高动态递归神经网络的动态系统仿真能力，在Elman神经网络的基础上，提出动态递归小波神经网络（RWNN），给出了其动态梯度下降算法，并将其成功应用于非线性动态系统仿真．仿真算例表明，该网络具有收敛快，精度高等优点，仿真效果很好，同时具有较好的泛化性能，具有广阔的应用前景。

英文摘要：

For the aim of improving the dynamical system simulation ability of recurrent neural network, Based on Elman network, the recurrent wavelet neural network （RWNN ） was proposed in the paper, and the dynamic gradient descent algorithm of RWNN was given. The RWNN could be used in the nonlinear dynamical system simulation successfully. Simulation example shows that RWNN has a faster convergence speed and a better precision in calculation, and a good result on the nonlinear dynamical system simulation is obtained. At the same time, the network also has better generalization ability, which means it has a broad prospect on application.