一个吸引子共存的混沌系统及其同步电路实现  

A chaotic system with attractor coexistence and its synchronization circuit implementation

作　　者：闫少辉[1,2] 王尔童 孙溪 施万林 宋震龙 YAN Shaohui;WANG Ertong;SUN Xi;SHI Wanlin;SONG Zhenlong(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,Gansu Province,P.R.China;Engineering Research Centre of Gansu Province for Intelligent Information Technology and Application,Lanzhou 730070,Gansu Province,P.R.China)

机构地区：[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

出　　处：《深圳大学学报（理工版）》2021年第6期649-657,共9页Journal of Shenzhen University(Science and Engineering)

基　　金：甘肃省自然科学基金资助项目(20JR5RA531)

摘　　要：基于TANG系统构建一个三维自治混沌系统,通过平衡点、相图、Lyapunov指数谱、分岔图和复杂度,分析系统的动力学特性.结果发现,本研究构建的三维自治混沌系统的动力学行为较复杂,具有与原系统不同的拓扑结构、分岔反单调特性和吸引子共存现象.该系统具有混沌吸引子与点吸引子共存的现象,通过分析共存吸引子选择更适合混沌保密通信的初始值.利用现场可编程门阵列(field programmable gate array,FPGA)实现系统的实际数字电路,实验结果与数值仿真一致,证明所构建的系统可行.该系统对初始值及系统参数极敏感,且具有丰富的动力学行为,适用于混沌保密通信领域.采用线性反馈法对该系统进行同步控制,并利用Multisim软件实现了同步电路仿真,仿真结果与数值分析一致,为该系统在同步保密通信领域的应用奠定了理论基础.We construct a three-dimensional chaotic system based on TANG chaotic system and analyze the system dynamics based on the equilibrium points,phase diagram,Lyapunov exponential spectrum,bifurcation diagram,and complexity.The more complexly dynamic behaviors indicate that our designed system has different topology,bifurcation anti-monotonic property and attractor coexistence phenomenon from TANG system.The system has the coexistence of chaotic attractor and point attractor and can select the initial value that is suitable for chaotic secure communication by analyzing the coexistence attractor.The actual digital circuit is implemented with field programmable gate array(FPGA).The system is extremely sensitive to the selections of initial values and system parameters and has good and rich dynamic behavior,which is suitable for the field of chaotic confidential communication.The linear feedback method is used to control the system synchronous and the simulation of synchronous circuit is realized by Multisim software.The simulation results are consistent with the numerical analysis,which lays a theoretical foundation for the application of the system in the field of synchronized confidential communication.

关 键 词：混沌 反单调性 吸引子共存 线性反馈 同步控制 电路实现 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] O415.5[自动化与计算机技术—控制科学与工程]