Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrasesThe classical motion equation of our model can be obtained by int

The canonical equation may be integrated to derive the classical motion equation for our model. The resulting evolution equation is expressed as follows: \begin{eqnarray} p_{n+1} &=& p_{n}+Ksin{2\theta_{n}},\ \theta_{n+1} &=& \theta_{n}+p_{n+1}, \end{eqnarray} It should be noted that the force term in the equation is multiplied by a factor of $2$ with respect to the original kicked rotor model, specifically in relation to the angle variable $\theta_n$. However, this modification does not generate a significant difference in the classical evolution, given that the angle variable can be appropriately rescaled. Therefore, the classical motion of our model can be analyzed in a similar manner to that of the kicked rotor model.