关键词: 动态系统, 常微分方程组, 进化算法, 串结构

Abstract: To overcome the difficulties and the draw backs in modeling dynamic systems by traditional methods, a hybrid evolutionary modeling algorithm (HEMA) was proposed to model the Dynamic system with a system of ordinary differential equations (ODEs) whose main idea was to embed string coded idea and evolution algorithm optimize system. The model structure was shown by string structure, and the evolution algorithm was used to optimize the structure and parameters of a model. It succeeded in automating the modeling process of systems of ODEs for dynamic systems. The result of experiments indicates that, by running the HEMA, the computer can search out multiple superior ODEs models within a reasonable time. Compared with the combination of a genetic algorithm (GA), which was employed to optimize the parameters of a model, and a genetic programming method, which was employed to optimize a model structure, this algorithm, possesses advantages, such as a more intelligent modeling process, more flexible and various model structures, higher precision of fitting and predicting data.

Key words: system of ordinary differential equations, evolutionary algorithm, string structure, dynamic systems