Cryptographic Feature Analysis on 2D Coupled Map Lattices Based on Piecewise Logistic Map

doi:10.3969/j.issn.0372-2112.2019.03.020

您当前的位置：

首页 >

文章列表页 >

Cryptographic Feature Analysis on 2D Coupled Map Lattices Based on Piecewise Logistic Map

更新时间：2025-07-02

- Cryptographic Feature Analysis on 2D Coupled Map Lattices Based on Piecewise Logistic Map
- Acta Electronica Sinica Vol. 47, Issue 3, Pages: 657-663(2019)
- 作者机构：
  
  1. 重庆邮电大学计算机科学与技术学院,重庆,400065
  2. 重庆邮电大学电子商务与物流重点实验室,重庆,400065
  3. 圣何塞州立大学计算机工程系, 加利福尼亚州圣何塞,95192
  4. 重庆邮电大学计算机科学与技术学院,重庆,400065
  5. 重庆邮电大学电子商务与物流重点实验室,重庆,400065
  6. 圣何塞州立大学计算机工程系加利福尼亚州圣何塞,95192
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61472464);Basic and Frontier Program of Chongqing Municipality (No.cstc2015jcyjA0554);The National Social Science Fund of China (No.14CTQ026)
- DOI：10.3969/j.issn.0372-2112.2019.03.020
  CLC： TN918.1O415.5
- Published Online：25 March 2019，
  
  Published：2019
- 稿件说明：
移动端阅览
Cryptographic Feature Analysis on 2D Coupled Map Lattices Based on Piecewise Logistic Map[J]. Acta Electronica Sinica, 2019, 47(3): 657-663.
DOI：

Cryptographic Feature Analysis on 2D Coupled Map Lattices Based on Piecewise Logistic Map[J]. Acta Electronica Sinica, 2019, 47(3): 657-663. DOI： 10.3969/j.issn.0372-2112.2019.03.020.

摘要

将分段Logistic映射作为局部混沌映射，引入到二维耦合映像格子模型中，构造了一种具有复杂动力学特性的混沌模型.从密码学应用出发，深入分析了该模型中参数设置对Lyapunov指数、分岔、遍历区间和概率密度分布等特性的影响.分析的结果为将该模型应用于保密通信的参数设置提供了理论依据.在此基础上，通过引入状态值偏移量，解决了该模型状态值概率密度分布不均的问题，研究结果表明本文模型具有良好的性能，为将其应用于混沌保密通信方案设计提供了基础与条件.

Abstract

Using the piecewise logistic map(PLM) as a local chaotic map for the 2D coupled map lattices (CML)

this paper proposes a chaotic model with complex dynamic behavior.The influence of some parameters to the model features

such as the Lyapunov exponent(LE)

bifurcation

ergodicity

and probability density distribution

is analyzed from the view of cryptographic applications.The analysis results provide the theoretic evidence for the model to configure parameters in the secure communication.Moreover

an offset is introduced to adjust the status value of lattices

which improve the ununiformity of probability density of status value.The research results show that the proposed model has good performance

and provide good foundation and conditions for the research of designing secure communication scheme based on this model.

关键词

Keywords

references

Views

349

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Design of Dynamic S-Box Based on Perturbed Spatiotemporal Chaotic System

Study on Nonlinear Dynamics Behavior in PWM Switched-Capacitor DC-DC Converter

Periodic Windows of a Chaotic Map with Infinite Collapses and the Test of Even Distribution

An Algorithm for Computing the Largest Lyapunov Exponent Based on Space Grid Method

Frequency Conversion Sinusoidal Chaotic Neural Network Based on Self-adaptive Simulated Annealing

Related Author

MA Ying-jie

CHEN Lei

DONG You-heng

HOU Yan-li

ZHAO Geng

WANG Li-zhi

ZHANG Li-sen

HE Di

Related Institution

Beijing Electronic Science and Technology Institute

Beijing University of Posts and Telecommunications

Xidian University

Institute of Science,Air Force Engineering University

Department of Electronic Engineering,Xi’an University of Technology

⁰