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

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

16 Citations (Scopus)

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. © 2012 Elsevier B.V.

Original language	English
Pages (from-to)	3848-3856
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	10
DOIs	https://doi.org/10.1016/j.cnsns.2012.02.021
Publication status	Published - Oct 2012

Research Keywords

Cat map
Dynamical system
Linear map
Period distribution
Periodic orbit

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TY - JOUR

T1 - Period distribution analysis of some linear maps

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. © 2012 Elsevier B.V.

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. © 2012 Elsevier B.V.

KW - Cat map

KW - Dynamical system

KW - Linear map

KW - Period distribution

KW - Periodic orbit

UR - http://www.scopus.com/inward/record.url?scp=84862832752&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84862832752&origin=recordpage

U2 - 10.1016/j.cnsns.2012.02.021

DO - 10.1016/j.cnsns.2012.02.021

M3 - RGC 21 - Publication in refereed journal

SN - 1007-5704

VL - 17

SP - 3848

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

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