文中就一类有阻尼受迫 Sine-Gordon 方程的系统动态进行辨识研究． 首先利用有限差分理论，将由偏微分方程描述的无穷维 Sine-Gordon 方程近似为由一组常微分方程描述的有限维系统，然后证明该近似系统解的存在唯一性和收敛性，最后利用确定学习对该近似系统的系统动态进行辨识． 实验结果表明，文中方法可实现该类 Sine-Gordon 方程系统动态的局部准确辨识．

Discussed in this paper is the identification of dynamics of a class of damped and driven Sine-Gordon (SG) equation． Firstly，SG equation described by partial differential equation (PDE)，which is infinite dimen-sional，is approximated by a set of ordinary differential equation with finite dimension by means of finite difference method． Then，the existence，uniqueness and convergence of the solution of the approximated system are proofed．Finally，the dynamics of the approximated system is identified on the basis of deterministic learning． Experimental results show that the proposed method helps achieve locally accurate identification of SG equation dynamics．