隐藏吸引子的新四维超混沌系统及多通道同步
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宁夏师范大学物理与电子信息工程学院 固原 756000

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O415.5;TN918

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国家自然科学基金(42371377)、宁夏自然科学基金(2022AAC03320)、宁夏师范学院校级科研项目(XJYB2330)、宁夏师范学院本科教学项目(NJYJSTY2406)资助


New four-dimensional chaotic system with hidden attractor and multi-channel synchronization
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School of Physics and Electronic Information Engineering, Ningxia Normal University,Guyuan 756000, China

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    摘要:

    针对混沌多通道同步效率低的问题,基于经典Lorenz混沌系统提出了一种新四维超混沌系统,并通过详细分析其混沌特性,探讨其在保密通信中的应用潜力。首先,通过相图、Lyapunov指数谱、分岔图、Poincare截面图和复杂度等方法对其动力学行为进行了分析。其次,通过Multisim电路仿真验证了系统的数值分析结果。最后,采用错位投影法设计了一种多通道同步控制方案。研究结果表明,新四维超混沌系统具有复杂的动力学行为,在不同的初始条件下能够产生隐藏吸引子。电路仿真结果与数值分析相吻合,多通道误差系统具有良好的混沌特性。证明了该系统具有较高的可靠性和灵活性,为研究混沌系统在信息安全领域奠定了良好的基础。

    Abstract:

    In order to solve the problem of low synchronization efficiency in chaotic multi-channel communication, a new four-dimensional super-chaotic system based on the classical Lorenz chaotic system was proposed, and its potential application in secure communication was explored by analyzing its chaotic characteristics in detail. First, the dynamical behavior was analyzed by phase diagram, Lyapunov exponent spectrum, bifurcation diagram, Poincare section diagram, and complexity method. Then, the numerical analysis results were verified by Multisim circuit simulation. Finally, a multi-channel synchronization control scheme was designed using the displacement projection method. The research results show that the new four-dimensional super-chaotic system has complex dynamic behavior and can generate hidden attractors under different initial conditions. The circuit simulation results are consistent with the numerical analysis, and the multi-channel error system has good chaotic characteristics. This indicates that the system has high reliability and flexibility, laying a good foundation for studying chaotic systems in the field of information security.

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杨阳,张俊芳,万怡华.隐藏吸引子的新四维超混沌系统及多通道同步[J].电子测量技术,2024,47(15):23-29

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  • 在线发布日期: 2024-11-28
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