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

^*Corresponding author for this work

Chongqing University
City University of Hong Kong
University of Sheffield

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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.

Original language	English
Pages (from-to)	3848-3856
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	10
DOIs	https://doi.org/10.1016/j.cnsns.2012.02.021
State	Published - Oct 2012
Externally published	Yes

Keywords

Cat map
Dynamical system
Linear map
Period distribution
Periodic orbit

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10.1016/j.cnsns.2012.02.021

Cite this

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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

AU - Liao, Xiaofeng

AU - Wong, Kwok wo

AU - Han, Qi

AU - Li, Yang

PY - 2012/10

Y1 - 2012/10

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

UR - https://www.scopus.com/pages/publications/84862832752

U2 - 10.1016/j.cnsns.2012.02.021

DO - 10.1016/j.cnsns.2012.02.021

M3 - 文章

AN - SCOPUS:84862832752

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VL - 17

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EP - 3856

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 10

ER -

Period distribution analysis of some linear maps

Abstract

Keywords

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