Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties

To solve the weak chaos in the spatiotemporal chaotic system based on coupled map lattices under some control parameters and the un-uniformity of sequences generated by the coupled map lattices, a two-dimensional pseudo-random coupled map lattices (2D-PRCML) system was proposed.Firstly, the two-dime...

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Main Authors: Youheng DONG, Geng ZHAO, Yingjie MA
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2022-01-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022001/
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author Youheng DONG
Geng ZHAO
Yingjie MA
author_facet Youheng DONG
Geng ZHAO
Yingjie MA
author_sort Youheng DONG
collection DOAJ
description To solve the weak chaos in the spatiotemporal chaotic system based on coupled map lattices under some control parameters and the un-uniformity of sequences generated by the coupled map lattices, a two-dimensional pseudo-random coupled map lattices (2D-PRCML) system was proposed.Firstly, the two-dimensional partitioned elementary cellular automata (2D-PECA) was designed to establish pseudo-random coupling.Secondly, iterative results of 2D-PECA were utilized to perturb the 2D-PRCML system.The chaotic behaviors of the proposed system, such as the bifurcation diagram, Kolmogorov-Sinai entropy, were investigated.Moreover, the uniformity of sequences generated by the 2D-PRCML system was discussed, and the correlation coefficients between any two sequences generated by different lattices were acquired.The analyses and tests indicate that the 2D-PRCML system exhibits stronger chaotic behavior.Furthermore, the sequence generated by the proposed system possesses better uniformity, randomness, and unpredictability.The outstanding properties of the 2D-PRCML system prove that it is more suitable for applying in cryptography and chaotic secure communication.
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spelling doaj-art-1a91458b14c94577b000901e63185aef2025-01-14T06:30:26ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2022-01-0143718259398310Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic propertiesYouheng DONGGeng ZHAOYingjie MATo solve the weak chaos in the spatiotemporal chaotic system based on coupled map lattices under some control parameters and the un-uniformity of sequences generated by the coupled map lattices, a two-dimensional pseudo-random coupled map lattices (2D-PRCML) system was proposed.Firstly, the two-dimensional partitioned elementary cellular automata (2D-PECA) was designed to establish pseudo-random coupling.Secondly, iterative results of 2D-PECA were utilized to perturb the 2D-PRCML system.The chaotic behaviors of the proposed system, such as the bifurcation diagram, Kolmogorov-Sinai entropy, were investigated.Moreover, the uniformity of sequences generated by the 2D-PRCML system was discussed, and the correlation coefficients between any two sequences generated by different lattices were acquired.The analyses and tests indicate that the 2D-PRCML system exhibits stronger chaotic behavior.Furthermore, the sequence generated by the proposed system possesses better uniformity, randomness, and unpredictability.The outstanding properties of the 2D-PRCML system prove that it is more suitable for applying in cryptography and chaotic secure communication.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022001/spatiotemporal chaotic systemcoupled map latticespartitioned elementary cellular automatabifurcation diagramuniformity
spellingShingle Youheng DONG
Geng ZHAO
Yingjie MA
Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
Tongxin xuebao
spatiotemporal chaotic system
coupled map lattices
partitioned elementary cellular automata
bifurcation diagram
uniformity
title Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
title_full Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
title_fullStr Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
title_full_unstemmed Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
title_short Two-dimensional pseudo-random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
title_sort two dimensional pseudo random coupled map lattices system based on partitioned elementary cellular automata and its dynamic properties
topic spatiotemporal chaotic system
coupled map lattices
partitioned elementary cellular automata
bifurcation diagram
uniformity
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022001/
work_keys_str_mv AT youhengdong twodimensionalpseudorandomcoupledmaplatticessystembasedonpartitionedelementarycellularautomataanditsdynamicproperties
AT gengzhao twodimensionalpseudorandomcoupledmaplatticessystembasedonpartitionedelementarycellularautomataanditsdynamicproperties
AT yingjiema twodimensionalpseudorandomcoupledmaplatticessystembasedonpartitionedelementarycellularautomataanditsdynamicproperties