This paper presents a preliminary study about a kind of chain coupling system, which we hope could have some enlightened effect for the research on the spatial fractal set of more strongly coupled systems. By analyzing the trajectories of system variables and applying the magnifying or reducing method, the upper bounds of the original and controlled Julia sets from the proposed system are given. Numerical examples are also included to verify the conclusions.

中文翻译：

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一种链耦合物流型图空间分形集的有界分析与控制简记

本文对一种链耦合系统进行了初步研究，希望对强耦合系统空间分形集的研究有所启发。通过分析系统变量的轨迹并应用放大或缩小方法，给出了所提出系统的原始Julia集和受控Julia集的上界。还包括数值例子来验证结论。