利用matlab自带的BP神经网络工具箱对duffing混沌背景模型进行相空间重构与预测，程序中已经给出duffing函数，主函数中也给出了主要注释，方便大家学习交流。-BP' s own use matlab neural network toolbox for duffing chaotic background model and prediction of phase space reconstruction, the program has been given duffing function, the main function also gives the main note, we facilitate learning exchanges.