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Construction of a class of chaos systems with Markov properties
Liu Q.; Li P. Y.; Zhang M. C.; Sui Y. X.; Yang H. J.
2013
发表期刊Acta Physica Sinica
ISSNISBN/1000-3290
卷号62期号:17
摘要In this article, a kind of piecewise expanding linear system is constructed. It has a positive Lyapunov exponent as calculated. It is proved that the system has a uniform limit distribution The formula of the least period of the system is also presented. It is indicated that there is a contradictory relationship between the complexity and the least period of the system when the symbol entropy is applied to the system. The theoretical limit of the complexity of the system with changing parameters is presented. Simulation of the system shows that the sequence generated by the chaos is uniformly distributed. It also tells that the system can have higher complexity but longer least-period than the logistic system and the Tent-Map system. Experiments show that the system is suitable for constructing the cipher.
收录类别SCI
语种中文
文献类型期刊论文
条目标识符http://ir.ciomp.ac.cn/handle/181722/40587
专题中科院长春光机所知识产出
推荐引用方式
GB/T 7714
Liu Q.,Li P. Y.,Zhang M. C.,et al. Construction of a class of chaos systems with Markov properties[J]. Acta Physica Sinica,2013,62(17).
APA Liu Q.,Li P. Y.,Zhang M. C.,Sui Y. X.,&Yang H. J..(2013).Construction of a class of chaos systems with Markov properties.Acta Physica Sinica,62(17).
MLA Liu Q.,et al."Construction of a class of chaos systems with Markov properties".Acta Physica Sinica 62.17(2013).
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文件名: 一类具有Markov性质的混沌系统的构造_刘泉_李佩玥_章明朝_隋永新_杨怀江.pdf
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