摘要
构造了一个新的三维混沌系统,该系统具有丰富的多稳态特性,即存在多涡卷吸引子现象。通过分析系统的平衡点与稳定性、吸引子相图、Lyapunov指数谱以及分岔图,发现该系统具有复杂的动力学特性且吸引子表现为四涡卷的拓扑结构。重点分析了参数和初始条件对系统多稳态性的影响,分析发现,当改变系统参数并选取合适的初始条件时,系统会出现双涡卷-三涡卷-四涡卷不同类型的多涡卷吸引子共存现象。基于提出的新三维混沌系统,在同步控制器的作用下,采用移位映射同步方法实现了该系统与经典Lorenz混沌系统的同步。最后将同步控制器应用于混沌掩盖保密通信中,仿真结果表明:该方法可靠、有效,在同步通信领域具有较好的应用价值。
A new three-dimensional chaotic system is constructed,which has abundant multistable properties,that is,the existence of multiple vortex attractors.By studying and analyzing the equilibrium point and stability,attractor phase diagram,Lyapunov exponent spectrum and bifurcation diagram of the system,it is found that the system has complex dynamic characteristics and topological structure with four vortices of attractors.The influence of parameters and initial conditions on the multistability of the system is analyzed.The results show that when the system parameters are changed and the initial conditions are selected,the system will have different types of multi-vortex attractors,such as double-vortex,three-vortex,and four-vortex.Based on the proposed new three-dimensional chaotic system,the synchronization between the system and the classical Lorenz chaotic system is realized by the shift mapping synchronization method under the action of synchronization controller.Finally,the synchronization controller is applied to the chaotic masking secure communication.The simulation results show that the method is reliable and effective,and has good application value in the field of synchronous communication.
作者
杨阳
摆玉龙
YANG Yang;BAI Yulong(School of Physics and Electronic Information Engineering,Ningxia Normal University,Guyuan 756000,China;College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China)
出处
《微电子学与计算机》
2024年第10期73-81,共9页
Microelectronics & Computer
基金
宁夏师范大学校级科研项目(XJYB2330)
宁夏师范大学固体微结构与功能重点实验室项目。
关键词
混沌系统
多稳态性
同步控制
保密通信
chaotic system
multistability
synchronous control
confidential communication
