A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator

A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator

Given that the sequences generated by logistic map are unsecure with a number of weaknesses, including its relatively small key space, uneven distribution, and vulnerability to attack by phase space reconstruction, this paper proposes a new two-dimensional mutual coupled logistic map, which can over...

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Main Authors: Xuan Huang, Lingfeng Liu, Xiangjun Li, Minrong Yu, Zijie Wu
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/7685359
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spelling doaj-05876057c3ca474f9591758e391ab5572020-11-25T00:17:09ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/76853597685359A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number GeneratorXuan Huang0Lingfeng Liu1Xiangjun Li2Minrong Yu3Zijie Wu4School of Software & Communication Engineering, Jiangxi University of Finance and Economics, Nanchang, 330013, ChinaSchool of Software, Nanchang University, Nanchang, 330029, ChinaSchool of Software, Nanchang University, Nanchang, 330029, ChinaSchool of Software, Nanchang University, Nanchang, 330029, ChinaSchool of Software, Nanchang University, Nanchang, 330029, ChinaGiven that the sequences generated by logistic map are unsecure with a number of weaknesses, including its relatively small key space, uneven distribution, and vulnerability to attack by phase space reconstruction, this paper proposes a new two-dimensional mutual coupled logistic map, which can overcome these weaknesses. Our two-dimensional chaotic map model is simpler than the recently proposed three-dimensional coupled logistic map, whereas the sequence generated by our system is more complex. Furthermore, a new kind of pseudorandom number generator (PRNG) based on the mutual coupled logistic maps is proposed for application. Both statistical tests and security analysis show that our proposed PRNG has good randomness and that it can resist all kinds of attacks. The algorithm speed analysis indicates that PRNG is valuable to practical applications.http://dx.doi.org/10.1155/2019/7685359
collection DOAJ
language English
format Article
sources DOAJ
author Xuan Huang
Lingfeng Liu
Xiangjun Li
Minrong Yu
Zijie Wu
spellingShingle Xuan Huang
Lingfeng Liu
Xiangjun Li
Minrong Yu
Zijie Wu
A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
Mathematical Problems in Engineering
author_facet Xuan Huang
Lingfeng Liu
Xiangjun Li
Minrong Yu
Zijie Wu
author_sort Xuan Huang
title A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
title_short A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
title_full A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
title_fullStr A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
title_full_unstemmed A New Two-Dimensional Mutual Coupled Logistic Map and Its Application for Pseudorandom Number Generator
title_sort new two-dimensional mutual coupled logistic map and its application for pseudorandom number generator
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description Given that the sequences generated by logistic map are unsecure with a number of weaknesses, including its relatively small key space, uneven distribution, and vulnerability to attack by phase space reconstruction, this paper proposes a new two-dimensional mutual coupled logistic map, which can overcome these weaknesses. Our two-dimensional chaotic map model is simpler than the recently proposed three-dimensional coupled logistic map, whereas the sequence generated by our system is more complex. Furthermore, a new kind of pseudorandom number generator (PRNG) based on the mutual coupled logistic maps is proposed for application. Both statistical tests and security analysis show that our proposed PRNG has good randomness and that it can resist all kinds of attacks. The algorithm speed analysis indicates that PRNG is valuable to practical applications.
url http://dx.doi.org/10.1155/2019/7685359
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