Period distribution analysis of some linear maps

Fei Chen; Xiaofeng Liao; Kwok wo Wong; Qi Han; Yang Li

doi:10.1016/j.cnsns.2012.02.021

Period distribution analysis of some linear maps

Fei Chen^*
, Xiaofeng Liao
, Kwok wo Wong
, Qi Han
, Yang Li

^*此作品的通讯作者

Chongqing University
City University of Hong Kong
University of Sheffield

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

This paper discusses period properties of some linear maps which are employed in various applications such as image encryption, public key cryptography and watermarking. Conditions for the bijectiveness of such maps and the existence of a period are presented. Period structure is also given. Then, the recurrence equation theory is adopted to address the period distribution problem. Finally, a framework to solve the problem is proposed with a demonstration of its effectiveness and efficiency into some applications.

源语言	英语
页（从-至）	3848-3856
页数	9
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	17
期	10
DOI	https://doi.org/10.1016/j.cnsns.2012.02.021
出版状态	已出版 - 10月 2012
已对外发布	是

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title = "Period distribution analysis of some linear maps",

abstract = "This paper discusses period properties of some linear maps which are employed in various applications such as image encryption, public key cryptography and watermarking. Conditions for the bijectiveness of such maps and the existence of a period are presented. Period structure is also given. Then, the recurrence equation theory is adopted to address the period distribution problem. Finally, a framework to solve the problem is proposed with a demonstration of its effectiveness and efficiency into some applications.",

keywords = "Cat map, Dynamical system, Linear map, Period distribution, Periodic orbit",

author = "Fei Chen and Xiaofeng Liao and Wong, \{Kwok wo\} and Qi Han and Yang Li",

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AU - Chen, Fei

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AU - Han, Qi

AU - Li, Yang

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N2 - This paper discusses period properties of some linear maps which are employed in various applications such as image encryption, public key cryptography and watermarking. Conditions for the bijectiveness of such maps and the existence of a period are presented. Period structure is also given. Then, the recurrence equation theory is adopted to address the period distribution problem. Finally, a framework to solve the problem is proposed with a demonstration of its effectiveness and efficiency into some applications.

AB - This paper discusses period properties of some linear maps which are employed in various applications such as image encryption, public key cryptography and watermarking. Conditions for the bijectiveness of such maps and the existence of a period are presented. Period structure is also given. Then, the recurrence equation theory is adopted to address the period distribution problem. Finally, a framework to solve the problem is proposed with a demonstration of its effectiveness and efficiency into some applications.

KW - Cat map

KW - Dynamical system

KW - Linear map

KW - Period distribution

KW - Periodic orbit

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Period distribution analysis of some linear maps

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