吸引子共存的四维多稳态混沌系统及同步电路  

Four-dimensional multistable chaotic systems and synchronous circuits with attractor coexistence

作　　者：杨阳 摆玉龙[2] 李艳 张庆 YANG Yang;BAI Yulong;LI Yan;ZHANG Qing(School of Physics and Electronic Information Engineering,Ningxia Normal University,Guyuan 756000,China;School of Physics and Electrical Engineering,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]宁夏师范大学物理与电子信息工程学院,宁夏固原756000 [2]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《现代电子技术》2024年第14期53-62,共10页Modern Electronics Technique

基　　金：国家自然科学基金项目(42371377);宁夏自然科学基金项目(2022AAC03302);宁夏师范大学校级科研项目(XJYB2330)。

摘　　要：文中设计了一种具有多翼吸引子的四维混沌系统,通过改变系统的多组参数,观察到吸引子结构由四翼变为双翼。采用相图、Lyapunov指数谱、分岔图和复杂度等方法,验证系统的动力学特性。结果表明,通过改变系统参数和选择不同的初始值,系统呈现出极性相反但结构相似的吸引子共存现象。使用Multisim仿真软件进行了电路仿真,发现数值分析和模拟仿真结果一致,验证了系统的可实现性。最后,采用线性反馈同步法对该系统进行了同步控制,并成功实现了同步电路仿真。所设计系统具有丰富的多稳态特性,主从系统在极短的时间内达到了同步,同步效果良好,可广泛应用于保密通信领域。A four-dimensional chaotic systems with multi-winged attractors is designed,which can change the attractor structure four wings to two wings by changing the system parameters.The phase diagram,Lyapunov exponential spectrum,bifurcation diagram and complexity methods are used to verify the dynamic characteristics of the system.The results show that,by changing the system parameters and choosing different initial values,the system can exhibit the coexistence of attractors with opposite polarity but similar structure.Multisim simulation software is used for the circuit simulation,and it is found that the numerical analysis and simulation results are consistent,thus verifying the realizability of the system.The linear feedback synchronization method is used for the synchronous control of the system,and the simulation of synchronization circuit is realized successfully.The master-slave system can realize the synchronization in a very short time,and the synchronization effect is good,which can be widely used in the field of secure communication.

关 键 词：四维混沌系统 多翼吸引子 多稳态性 LYAPUNOV指数谱 同步控制 电路仿真 

分 类 号：TN876.4-34[电子电信—信息与通信工程] TP309.7[自动化与计算机技术—计算机系统结构]