摘要
近年来,具有超级多稳态的混沌系统受到人们的广泛关注,为了进一步探究超级多稳态现象,基于忆阻器提出了一个新的四维忆阻混沌系统。通过庞加莱映射、时域波形图、Lyapunov指数谱和相轨图等分析了系统的动力学行为。实验结果表明,该系统不仅具有暂态混沌、恒Lyapunov指数等复杂动力学行为,还具有依赖于系统初始条件变化的分岔图偏移现象以及超级多稳态现象。特别地,当系统参数取不同离散值时,系统能产生随初始条件变化的“气泡”现象。最后,基于FPGA硬件平台实现了该系统,硬件实现与数值仿真结果基本一致,验证了系统的正确性与可行性。该系统具有很强的初值敏感性,可以将其应用在图像加密或保密通信等领域中。
In recent years,chaotic systems with extreme multistability have attracted extensive attention from researchers.To explore it further,a new four-dimensional memristive chaotic system was proposed using memristors.The dynamic behavior of this system was analyzed by Poincare mapping,chaotic dynamics of time domain waveform diagram,Lyapunov exponent spectrum,and phase orbit diagram.The experimental results demonstrate that the system exhibits complex dynamical behaviors,including transient chaos and constant Lyapunov index.Additionally,it reveals a shift in the bifurcation graph and extreme multistability phenomena upon variations of initial conditions of the system.In particular,when the system parameters take different discrete values,the system can exhibit a“bubble”phenomenon varying with the initial conditions.Finally,the system was implemented by a FPGA hardware platform.The results are mostly consistent with the numerical simulation,which verifies the correctness and feasibility of the system.This validates both the accuracy and feasibility of the proposed system.Notably,the system demonstrates strong sensitivity to initial values,which can be effectively utilized for image encryption or secure communication.
作者
张博
邱达
李旭鑫
罗敏
刘嵩
ZHANG Bo;QIU Da;LI Xuxin;LUO Min;LIU Song(College of Intelligent Systems Science and Engineering,Hubei Minzu University,Enshi445000,Hubei Province,China)
出处
《电子元件与材料》
CAS
北大核心
2024年第8期1031-1040,共10页
Electronic Components And Materials
基金
湖北省自然科学基金(2024AFD068)。
