Changchun Institute of Optics,Fine Mechanics and Physics,CAS
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 |
ISSN | ISBN/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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文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
一类具有Markov性质的混沌系统的构造(963KB) | 开放获取 | CC BY-NC-ND | 浏览 下载 |
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