四维双翼混沌系统在保密通信中的应用  

Application of four-dimensional double-wing chaotic system in secure communication

作　　者：杨阳 YANG Yang(School of Physics and Electronic Information Engineering,Ningxia Normal University,Guyuan 756000,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

出　　处：《齐鲁工业大学学报》2025年第1期9-17,共9页Journal of Qilu University of Technology

基　　金：宁夏师范大学校级科研项目基金(XJYB2330)。

摘　　要：大多数简单的四维混沌系统产生的混沌吸引子,只有3个不同的相平面具有明显的混沌吸引子特性。该研究构建的简单四维混沌系统可以产生6个二维吸引子相图且具有复杂的混沌特性。采用相图、Lyapunov指数谱、分岔图、0-1测试图以及庞佳莱截面图等分析方法验证了该系统具有丰富的动力学特性。利用Multisim对系统进行模拟电路并仿真,结果表明,电路仿真与数值分析结果相吻合,证明了该系统的物理实现性。最后,设计了一种鲁棒性较好的同步控制方案,从理论上证实了驱动-响应系统可以达到同步。并将同步控制器应用于混沌掩盖保密通信中,证实了该方法具有良好的保密性和可靠性。Most simple four-dimensional chaotic systems produce chaotic attractors;only three different phase planes have significant chaotic attractor properties.The simple four-dimensional chaotic system constructed in this study can generate six two-dimensional attractor phase diagrams and has complex chaotic properties.The phase diagram,Lyapunov exponential spectrum,bifurcation diagram,0-1 test diagram and Poincare cross section diagram are used to verify the abundant dynamic characteristics of the system.Multisim is used to simulate the system,and the results show that the circuit simulation is in agreement with the numerical analysis,which proves the physical realization of the system.Finally,a robust synchronization control scheme is designed,which proves theoretically that the driving-response system can achieve synchronization.The synchronization controller is applied to chaotic masking secure communication,which proves that the method has good security and reliability.

关 键 词：混沌系统 电路实现 同步控制 保密通信 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O415[自动化与计算机技术—控制科学与工程]