多翼瞬态混沌系统及有限时间同步研究  

Study on Multi-wing Transient Chaotic Systems and Finite Time Synchronization

作　　者：杨阳 摆玉龙[2] 李艳 霍婷婷 YANG Yang;BAI Yulong;LI Yan;HUO Tingting(School of Physics and Electronic Information Engineering,Ningxia Normal University,Guyuan,Ningxia 756000,China;School of Physics and Electronic 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,兰州730070

出　　处：《计算机科学》2024年第S02期995-1000,共6页Computer Science

基　　金：国家自然科学基金(42371377);宁夏师范大学固体微结构与功能重点实验室。

摘　　要：构造了一种能够产生多翼吸引子的三维混沌系统。通过对系统的相图、Lyapunov指数谱、分岔图和复杂度分析发现,该系统表现出复杂的动力学特性。通过研究多组参数发现,该系统存在丰富多样的多翼吸引子,且吸引子的拓扑结构由四翼转变为双翼,再转变为四翼的形式。此外,系统存在瞬态和吸引子共存现象。利用Multisim对系统进行模拟电路仿真,实验结果与数值分析结果相吻合,验证了混沌系统的可实现性。最后,基于有限时间理论,设计了同步控制器,实现了不同结构系统的有限时间同步,为混沌保密通信提供了良好的基础。A three-dimensional chaotic system that can generate multi-wing attractors is constructed.Through the analysis of the phase portraits,Lyapunov exponent spectra,bifurcation diagrams,and complexity,it is found that the system exhibits complex dynamical characteristics.By studying multiple sets of parameters,it is discovered that the system exhibits diverse multi-wing attractors,and the topological structure of the attractors changes from four-wing to double-wing,and then back to four-wing.In addition,the system exhibits coexistence of transients and attractors.Multisim is used to perform circuit simulations of the system,and the experimental results are consistent with the numerical analysis,verifying the feasibility of the chaotic system implementation.Finally,based on the finite time theory,a synchronization controller is designed to realize the finite time synchronization of different structures,which provides a good basis for chaotic secure communication.

关 键 词：多翼吸引子 瞬态混沌 共存吸引子 电路仿真 有限时间同步 

分 类 号：O415.5[理学—理论物理] O213[理学—物理]