A short note on the boundedness analysis and control of the spatial fractal set from a kind of chain coupling Logistic type map

A short note on the boundedness analysis and control of the spatial fractal set from a kind of chain coupling Logistic type map
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简记一类链耦合Logistic型图空间分形集的有界性分析与控制

DOI:
10.1142/s0218348x20500607
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发表时间:
2020-06
期刊:
Fractals
影响因子:
--
通讯作者:
XIYU LIU
XIYU LIU
中科院分区:
其他
文献类型:
--
作者:
DA WANG;YANG ZHAO;YI ZHANG;XIYU LIU

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本文对一类链式耦合系统进行了初步的研究,希望对更强耦合系统的空间分形集的研究有一定的启发作用。通过分析系统变量的运动轨迹,利用放大或缩小的方法,给出了该系统的原始Julia集和受控Julia集的上界。数值算例验证了结论。
This work 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.
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