周围, 吴周青. 一个新的超大范围超混沌系统分析与FPGA实现[J]. 微电子学与计算机, 2019, 36(8): 49-53.
引用本文: 周围, 吴周青. 一个新的超大范围超混沌系统分析与FPGA实现[J]. 微电子学与计算机, 2019, 36(8): 49-53.
ZHOU Wei, WU Zhou-qing. Analysis and FPGA implementation of a novel super-wide range hyperchaotic system[J]. Microelectronics & Computer, 2019, 36(8): 49-53.
Citation: ZHOU Wei, WU Zhou-qing. Analysis and FPGA implementation of a novel super-wide range hyperchaotic system[J]. Microelectronics & Computer, 2019, 36(8): 49-53.

一个新的超大范围超混沌系统分析与FPGA实现

Analysis and FPGA implementation of a novel super-wide range hyperchaotic system

  • 摘要: 超混沌系统与混沌系统相比动力学特性更加复杂, 但是目前大多数超混沌系统参数范围较小, 提供的密钥空间较小, 而且在系统参数发生改变时系统容易跳出混沌状态.针对这个问题, 本文提出了一个新的超大范围超混沌系统.该系统在参数c属于1, 107时都表现为超混沌状态.理论分析了新系统的基本动力学行为, 包括系统相图、平衡点、Lyapunov指数谱和分岔图.本文进一步用FPGA实现了该混沌系统, 给出了系统参数c分别为5、100、1000和105时, 在示波器上捕捉到的x-z相轨迹图, 验证了该超大范围超混沌系统的FPGA可实现性.

     

    Abstract: The hyperchaotic system has more complex dynamic characteristics than the chaotic system. However, most hyperchaotic systems currently have a small parameter range and provide a small key space, and the system easily jumps out of the chaotic state when the system parameters change. Aiming at this problem, a novel super-wide range hyperchaotic system is proposed in this paper. The system is hyperchaotic when the parameter c is1, 107. The basic dynamics behaviors of the novel system are analyzed theoretically, including system phase diagrams, equilibrium points, Lyapunov exponent spectrums and bifurcation diagrams. In this paper, the chaotic system is implemented by FPGA, and the x-z phase trajectories captured on the oscilloscope are given when the system parameters c are 5, 100, 1000 and 105 respectively, verified the FPGA achievability of the super-wide range hyperchaotic system.

     

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