• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

计算机工程与科学 ›› 2022, Vol. 44 ›› Issue (08): 1409-1417.

• 计算机网络与信息安全 • 上一篇    下一篇

一个新三维混沌电路设计及其同步控制

闫少辉1,2,施万林1,宋震龙1,王尔童1,孙溪1,黄羿博1,2   

  1. (1.西北师范大学物理与电子工程学院,甘肃 兰州 730070;
     2.甘肃省智能信息技术与应用工程研究中心,甘肃 兰州 730070)
  • 收稿日期:2020-12-30 修回日期:2021-04-13 接受日期:2022-08-25 出版日期:2022-08-25 发布日期:2022-08-25
  • 基金资助:
    甘肃省自然科学基金(20JR5RA531)

A new 3D chaotic circuit design and its synchronous control

YAN Shao-hui1,2,SHI Wan-lin1,SONG Zhen-long1,WAN Er-tong1,SUN Xi1,HUANG Yi-bo1,2   

  1. (1.College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070;
    2.Engineering Research Centre of Gansu Province for Intelligent Information Technology and Application,Lanzhou 730070,China)
  • Received:2020-12-30 Revised:2021-04-13 Accepted:2022-08-25 Online:2022-08-25 Published:2022-08-25

摘要: 在Bao系统的基础上构建一个新的三维混沌系统。通过理论分析与数值仿真,研究该混沌系统的动力学特性,如系统耗散性和平衡点稳定性、Lyapunov指数谱和分岔图、Poincare截面和0-1测试运动轨迹等,结果表明该系统具有丰富的混沌动力学特性。通过谱熵复杂度和C0复杂度,分析不同参数下系统的复杂度大小,从而找到复杂度最高的参数取值范围。最后,采用非线性反馈同步法与线性反馈控制方法实现混沌系统同步,根据系统的最大Lyapunov指数确定线性同步控制的参数范围,并利用Multisim软件进行电路仿真,且仿真结果与数值分析完全一致,从而验证了新三维混沌电路同步控制的可行性,为混沌系统应用于同步保密通信领域提供了实验基础。

关键词: 混沌系统, 动力学特性, 谱熵复杂度, 电路仿真, 同步控制

Abstract: A new three-dimensional chaotic system is constructed on the basis of Bao system. Through theoretical analysis and numerical simulation, the dynamic characteristics of the chaotic system are studied, such as system dissipation and equilibrium stability, Lyapunov exponent spectrum and bifurcation diagram, Poincare cross section and 0-1 test motion trajectory, etc. The results show that it has the abundant chaotic dynamics characteristics. Through spectral entropy complexity (SE) and C0 complexity, the complexity of the system under different parameters is analyzed to find the parameter value range with the highest complexity. Finally, the non-linear feedback synchronization method and the linear feedback control method are used to realize the synchronization of the chaotic system. To determine the parameter range of linear synchronization control according to the maximum Lis exponent of the system, and the Multisim software is used for circuit simulation. The simulation results are completely consistent with the numerical analysis, which verifies the feasibility of the new three-dimensional chaotic circuit synchronization control, and provides an experimental basis for the application of the chaotic system in the field of synchronous secure communication.

Key words: chaotic system, kinetic characteristics, spectral entropy complexity, circuit simulation, synchronization control