基于相空间对称Lorenz阵子群的混沌保密通信研究

刘林芳; 芮国胜; 张洋; 吴前龙

doi:10.11959/j.issn.1000-436x.2019117

您当前的位置：

首页 >

文章列表页 >

基于相空间对称Lorenz阵子群的混沌保密通信研究

学术论文 | 更新时间：2024-06-05

- 基于相空间对称Lorenz阵子群的混沌保密通信研究
- Research on the chaotic secure communication of the phase-space symmetric Lorenz oscillator group
- 通信学报 2019年40卷第5期页码：32-38
- 作者机构：
  
  海军航空大学信号与信息处理山东省重点实验室，山东烟台 264001
- 作者简介：
  
  [ "刘林芳（1990- ），男，山东滕州人，海军航空大学博士生，主要研究方向为混沌弱信号检测、混沌保密通信。" ]
  [ "芮国胜（1968- ），男，江苏南京人，海军航空大学教授，主要研究方向为现代通信系统、小波理论及应用、混沌弱信号检测等。" ]
  [ "张洋（1983- ），男，山东烟台人，海军航空大学讲师，主要研究方向为混沌与非线性滤波技术等。" ]
  [ "吴前龙（1994- ），男，湖北当阳人，海军航空大学硕士生，主要研究方向为混沌弱信号检测。" ]
- 基金信息：
  
  国家自然科学基金资助项目(41606117);国家自然科学基金资助项目(41476089);国家自然科学基金资助项目(61671016)
- DOI：10.11959/j.issn.1000-436x.2019117
  中图分类号： TN918
- 网络出版日期：2019-05，
  
  纸质出版日期：2019-05-25
- 稿件说明：
移动端阅览
刘林芳, 芮国胜, 张洋, 等. 基于相空间对称Lorenz阵子群的混沌保密通信研究[J]. 通信学报, 2019,40(5):32-38.

Linfang LIU, Guosheng RUI, Yang ZHANG, et al. Research on the chaotic secure communication of the phase-space symmetric Lorenz oscillator group[J]. Journal on communications, 2019, 40(5): 32-38.
刘林芳, 芮国胜, 张洋, 等. 基于相空间对称Lorenz阵子群的混沌保密通信研究[J]. 通信学报, 2019,40(5):32-38. DOI： 10.11959/j.issn.1000-436x.2019117.

Linfang LIU, Guosheng RUI, Yang ZHANG, et al. Research on the chaotic secure communication of the phase-space symmetric Lorenz oscillator group[J]. Journal on communications, 2019, 40(5): 32-38. DOI： 10.11959/j.issn.1000-436x.2019117.

摘要

针对大规模并发式保密通信对混沌阵子的需求，以Lorenz混沌阵子为例，提出了相空间对称混沌阵子群模型，研究了该对称阵子群的同步问题，得到了Lorenz阵子与对称阵子群同步的条件，利用该条件构建了基于对称混沌阵子群的通信模型并对其进行仿真验证。该对称阵子群能提供无限多个对称混沌阵子，可满足其在大规模保密通信中的应用，又能保持原混沌阵子的优良特性，具有较好的应用前景。

Abstract

To meet the demand of chaotic oscillators for large scale secure communications

the Lorenz oscillator was taken as an example

a phase-space symmetric chaotic oscillator group model was proposed and the synchronization problem was studied.According to the condition of synchronization

a communication model based on symmetric chaotic oscillator was constructed and verified by simulation.The symmetrical oscillator group can provide an infinite number of symmetric chaotic oscillators

which can satisfy the application in large-scale secure communication and maintain the excellent characteristics of the original chaotic oscillator

and has a good application prospect.

关键词

Keywords

references

AGHABABA M P , AGHABABA H P . A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs [J ] . Numerical Heat Transfer Part A Applications , 2012 , 29 ( 6 ): 575 - 597 .

CHENG C J . Robust synchronization of uncertain unified chaotic systems subject to noise and its application to secure communication [J ] . Applied Mathematics and Computation , 2012 , 219 ( 5 ): 2698 - 2712 .

GUO L , HU M , XU Z , et al . Synchronization and chaos control by quorum sensing mechanism [J ] . Nonlinear Dynamics , 2013 , 73 ( 3 ): 1253 - 1269 .

张刚 , 孟维 , 张天琪 . 多用户分段移位差分混沌键控通信方案 [J ] . 电子与信息学报 , 2017 , 39 ( 5 ): 1219 - 1225 .

ZHANG G , MENG W , ZHANG T Q . Multiuser communication scheme based on segment shift differential chaos shift keying [J ] . Journal of Electronics and Information Technology , 2017 , 39 ( 5 ): 1219 - 1225 .

付宏睿 , 董永刚 , 张建刚 . 基于三维自治系统复杂网络的混沌保密通信系统 [J ] . 吉林大学学报（理学版） , 2018 , 56 ( 2 ): 420 - 425 .

FU H R , DONG Y G , ZHANG J G . Chaotic secure communication of complex networks based on three-dimensional autonomous system [J ] . Journal of Jilin University (Science Edition) , 2018 , 56 ( 2 ): 420 - 425 .

薛薇 , 谭东程 , 张妹 , 等 . 基于 FPGA 的四翼超混沌系统同步及其保密视频通信 [J ] . 山东大学学报（工学版） , 2019 , 49 ( 2 ): 1 - 7 .

XUE W , TAN D C , ZHANG M , et al . A four-wing hyperchaotic system synchronization and its secure video communication based on FPGA [J ] . Journal of Shandong University (Engineering science) , 2019 , 49 ( 2 ): 1 - 7 .

RASAPPAN S , VAIDYANATHAN S . Hybrid synchronization of n-scroll chaotic Chua circuits using adaptive backstepping control design with recursive feedback [J ] . Malaysian Journal of Mathematical Sciences , 2013 , 7 ( 2 ): 219 - 246 .

YANG H , JIANG G P . High-efficiency differential-chaos-shift-keying scheme for chaos-based noncoherent communication [J ] . IEEE Transaction on Circuits System-II:Express Briefs , 2012 , 59 ( 5 ): 312 - 316 .

PECORA L M , CARROLL T L . Synchronization in chaotic systems [J ] . Physical Review Letters , 1990 , 64 ( 3 ): 821 - 824 .

WU X F , CAI J P , WANG M H . Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control [J ] . Journal of Sound and Vibration , 2006 , 29 ( 5 ): 378 - 387 .

WANG Z , HUANG X . Synchronization of a chaotic fractional order economical system with active control [J ] . Procedia Engineering , 2011 , 15 ( 5 ): 516 - 520 .

TU J J , HE H L , XIANG P . Adaptive backstepping synchronization between chaotic systems with unknown Lipschitz constant [J ] . Applied Mathematics and Computation , 2014 , 23 ( 6 ): 10 - 18 .

CHEN H H , SHEN G J , LIN Y L . Chaos synchronization between two different chaotic systems via nonlinear feedback control [J ] . Nonlinear Analysis Theory:Methods and Applications , 2009 , 70 ( 12 ): 4393 - 4401 .

YU J , HU C . Synchronization of nonlinear systems with delays via periodically nonlinear intermittent control [J ] . Communications in Nonlinear Science and Numerical Simulation , 2012 , 17 ( 7 ): 2978 - 2989 .

PAI M C . Global synchronization of uncertain chaotic systems via discrete-time sliding mode control [J ] . Applied Mathematics and Computation , 2014 , 22 ( 7 ): 663 - 671 .

ITOH M , YANG T , CHUA L O . Condition for impulsive synchronization of chaotic and hyperchaotic systems [J ] . International Journal of Bifurcation and Chaos , 2001 , 11 ( 2 ): 551 - 560 .

LI C D , LIAO X F . Complete and lag synchronization of hyperchaotic systems using small impulses [J ] . Chaos,Solitons and Fract , 2004 , 22 ( 4 ): 857 - 867 .

林飞飞 , 曾喆昭 . 不确定分数阶时滞混沌系统自适应神经网络同步控制 [J ] . 物理学报 , 2017 , 66 ( 9 ): 401 - 410 .

LIN F F , ZENG Z Z . Synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive neural network control [J ] . Acta Physica Sinica , 2017 , 66 ( 9 ): 401 - 410 .

FRISCH A , MARK M , AIKAWA K , et al . Quantum chaos in ultracold collisions of gas-phase erbium atoms [J ] . Nature , 2014 , 50 ( 7 ): 475 - 479 .

KENNEDY M P , KOLUMBAN G , KIS G , et al . Performance evaluation of FM-DCSK modulation in multipath environments [J ] . IEEE Transactions on Circuits ＆ Systems I Fundamental Theory ＆ Applications , 2001 , 48 ( 12 ): 1702 - 1717 .

MAGGIO G M , RULKOV N , REGGIANI L . Pseudo-chaotic time hopping for UWB impulse radio [J ] . IEEE Transactions on Circuits ＆Systems I Fundamental Theory ＆ Applications , 2001 , 48 ( 12 ): 1424 - 1435 .

王伟 , 曾以成 , 孙睿婷 . 含三个忆阻器的六阶混沌电路研究 [J ] . 物理学报 , 2017 , 66 ( 4 ): 201 - 211 .

WANG W , ZENG Y C , SUN R T . Research on a six-order chaotic circuit with three memristors [J ] . Acta Physica Sinica , 2017 , 66 ( 4 ): 201 - 211 .

孙广明 , 黄金杰 , 刘乔 . 分布式大规模多信号系统的混沌族群保密通信研究 [J ] . 通信学报 , 2017 , 38 ( 3 ): 201 - 209 .

SUN G M , HUANG J J , LIU Q . Research on the chaotic group secret communication of the distributed,large-scale and multi-signal system [J ] . Journal on Communications , 2017 , 38 ( 3 ): 201 - 209 .

浏览量

736

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于反正切的网格混沌吸引子及其保密通信

分布式、大规模、多信号系统的混沌族群保密通信研究

拉伸式3-D多涡卷混沌系统的设计及其在保密通信中的应用

混沌相空间转动同步及判别切换保密通信的研究

基于线性状态观测器的混沌同步及其在保密通信中的应用