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一个新三维切换混沌系统的研究与同步应用

  • 闫少辉 ,
  • 施万林 ,
  • 王棋羽 ,
  • 任钰 ,
  • 闫少辉 ,
  • 施万林 ,
  • 王棋羽 ,
  • 任钰
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  • 西北师范大学 a.物理与电子工程学院; b.甘肃省智能信息技术与应用工程研究中心,兰州 730070
闫少辉(1980-),女,甘肃镇原人,博士,副教授,主要研究方向为非线性电路及应用。

收稿日期: 2021-04-14

  修回日期: 2021-06-01

  网络出版日期: 2022-10-12

基金资助

甘肃省自然科学基金 (20JR5RA531)

Research and Synchronization Application of a New 3-D Switched Chaotic System

  • YAN Shaohui ,
  • SHI Wanlin ,
  • WANG Qiyu ,
  • REN Yu ,
  • YAN Shaohui ,
  • SHI Wanlin ,
  • WANG Qiyu ,
  • REN Yu
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  • a. College of Physics and Electronic Engineering;b. Engineering Research Centre of Gansu Province for Intelligent Information Technology and Application, Northwest Normal University, Lanzhou 730070, China

Received date: 2021-04-14

  Revised date: 2021-06-01

  Online published: 2022-10-12

摘要

为提高混沌系统的随机性,提出两个互为反结构的混沌系统,并设计切换函数,将其组合成一个新的自动切换混沌系统。通过研究系统的平衡点稳定性、混沌吸引子相图、Lyapunov指数谱、分岔图以Poincaré截面和功率谱,分析该切换混沌系统的基本动力学行为与混沌特性;通过计算谱熵复杂度和C0复杂度证实切换混沌系统的复杂度明显高于子混沌系统;基于Multisim软件设计系统的模拟电路仿真实验证实该切换系统是可行的;通过耦合同步方法实现两系统的同步,并应用到混沌掩盖保密通信中。实验结果表明此方法的可行性与有效性。

本文引用格式

闫少辉 , 施万林 , 王棋羽 , 任钰 , 闫少辉 , 施万林 , 王棋羽 , 任钰 . 一个新三维切换混沌系统的研究与同步应用[J]. 复杂系统与复杂性科学, 2022 , 19(3) : 94 -103 . DOI: 10.13306/j.1672-3813.2022.03.012

Abstract

To improve the randomness of chaotic systems, two chaotic systems with anti-structures have been proposed that are combined into a new automatic switching chaotic system by virtue of a switching function. The basic dynamic behaviors and rich chaotic characteristics of the switched chaotic system are analyzed upon studying the stability of the equilibrium point, chaotic attractor phase diagram, Lyapunov exponent spectrum, bifurcation diagram, Poincaré cross section and power spectrum of the system. With the help of the calculation of the spectral entropy complexity (SE) and C0 complexity, the complexity of switched chaotic system is proved to be substantially higher than that of the sub-chaotic system. Based on Multisim software, the analog circuit simulation experiment of the system is designed. The simulation results show that the switched system is feasible. The synchronization of the two systems is realized by the coupling synchronization method, and it is applied to the chaotic masking secure communication. The experimental results show that this method is feasible and effective.

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