Abstract: This paper begins by examining two simple classical nonlinear systems—the double pendulum system and the Rssler system. Through the use of the SINDyPI algorithm for identifying their dynamical equations, it demonstrates the efficiency and accuracy of machine learning methods in handling nonlinear systems and highlights the merits of this algorithm in datadriven approaches. Additionally, taking this as a basis, the study explores and discusses effective approaches to incorporating machine learning into the computational physics course. The findings provide valuable references for the practical implementation of teaching in computational physics.

Key words: SINDyP algorithm, double pendulum system, Rssler system, machine learning