期刊
IEEE ACCESS
卷 9, 期 -, 页码 141703-141708出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2021.3119601
关键词
Logistics; Synchronization; Fractals; Trajectory; Licenses; Graphics; Chaotic communication; 2-D Logistic map; fractal; synchronization
资金
- Natural Science Foundation of Shandong Province [ZR2018QF004]
- Shandong Province Key Research and Development Program [2019GGX104091]
- Research and Development Plan of Shandong Province [2019JZZY010731]
- Science, Education and Industry Integration Innovation Pilot Project of Qilu University of Technology (Shandong Academy of Sciences) [2020KJC-ZD04]
This paper discusses the fractal behaviors in 2-D Logistic map and introduces synchronization methods between different 2-D Logistic maps. The synchronization of the fractal set is achieved by synchronizing their iterative tracks, as demonstrated in simulations.
In this paper, the fractal behaviors in 2-D Logistic map are discussed. First, the definition and some properties of fractal set in 2-D Logistic map are given. Moreover, several synchronous definitions between different 2-D Logistic maps are introduced in this paper, such as complete synchronization, coupled synchronization, and adaptive synchronization. The synchronization of the fractal set between different Logistic maps is accomplished by synchronizing their iterative tracks. The simulations illustrate the effectiveness and correctness of these methods.
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