<p>In this paper, based on Lorenz trajectories decomposition method, we decompose the trajectories of other chaotic systems (Chen system, Lü system) to determine the spatial position of the trajectories. The chaotic system’s trajectories is categorized into four distinct components: the trajectories in the left equilibrium point region, the trajectories in the right equilibrium point region, the transition trajectories from the left equilibrium point region to the right equilibrium point region, and the transition trajectories from the right equilibrium point region to the left equilibrium point region. This classification of the decomposition is both objective and quantitative. Since this method is based on numerical solutions, there are errors in the process of solving numerical solutions, resulting in the inaccurate decomposition of Chen system. If the errors can be reduced indefinitely within the normal range or solved ideally, the applicability and accuracy of this method for Chen system will be significantly improved. This study is helpful to understand the mechanism of chaos generation from the perspective of numerical solution evolution, that is, the trajectories evolution, and lays a theoretical foundation for the study of the predictability and causality of chaotic systems. It is worth noting that Lorenz trajectories decomposition method has some limitations, its practicability for other chaotic systems other than this paper is still questionable.</p>