We borrow the form of potential of the well-known kink-bearing ${\phi }^4$system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic ${\phi }^4$system. The paper is devoted to providing a comparative numerical study of the properties of the two systems. Although the two systems are quite similar for a kink (antikink) solution, they usually exhibit different behaviors throughout collisions. For instance, they have different critical velocities, different results during collisions, and a different rule in their quasi-fractal structures. Their quasi-fractal structures will be studied in the disturbed kink-antikink collisions as well. Hence, three types of scattering windows will be introduced with respect to the incoming speed, the amplitude, and initial phase of the internal mode, respectively. Moreover, a detailed comparative study of the collisions between two kinks and one antikink will be done at the end.

我们借用著名扭结轴承的潜力形式 ${\phi }^4$系统在其两个真空之间的范围内并将其重复粘贴到其他范围内以引入周期性 ${\phi }^4$系统。本文致力于对这两个系统的特性进行比较数值研究。尽管对于扭结（反扭结）解决方案，这两个系统非常相似，但它们在整个碰撞过程中通常表现出不同的行为。例如，它们具有不同的临界速度，碰撞过程中的不同结果以及它们的准分形结构中的不同规则。它们的准分形结构也将在扰动的扭结-反扭结碰撞中进行研究。因此，将针对内部模式的进入速度，幅度和初始相位分别引入三种类型的散射窗口。此外，最后将对两种扭结和一种反扭结之间的碰撞进行详细的比较研究。