搜索

x

留言板

姓名
邮箱
手机号码
标题
留言内容
验证码

downloadPDF
引用本文:
Citation:

    臧鸿雁, 柴宏玉

    null

    Zang Hong-Yan, Chai Hong-Yu
    PDF
    导出引用
    • 利用已有理论给出了一个二次多项式混沌系统, 证明了该系统与Tent映射拓扑共轭, 给出了该混沌系统的概率密度函数; 并根据此概率密度函数, 得到了轨道均匀分布的反三角函数映射; 对均匀化前后的混沌系统在不同参数下产生序列的信息熵、Kolmogorov熵、离散熵的特性进行了分析, 结果显示均匀化后产生的混沌序列混沌程度不改变且具有更好的均匀性.
      In this paper, firstly we construct a quadratic chaotic system and prove that it is a topological conjugate system of Tent map. Secondly, having analyzed the probability density function of the system, we propose an anti-trigonometric function map. Additionally, the performances of the quadratic chaotic system such as information entropy, Kolmogorov entropy and discrete entropy are tested for both the original systems and the homogenized systems with different parameters. Numerical simulations show that the information entropy of the uniformly distributed sequence is close to the theoretical limit and the discrete entropy remains unchanged. This result shows that the homogenization method is effective. In conclusion, the chaotic sequence after homogenization not only inherits the diverse properties of the original sequence, but also exhibits better uniformity.
          通信作者:臧鸿雁,zhylixiang@sina.com
        • 基金项目:国家自然科学基金(批准号61170037)资助的课题.
          Corresponding author:Zang Hong-Yan,zhylixiang@sina.com
        • Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 61170037)
        [1]

        [2]

        [3]

        [4]

        [5]

        [6]

        [7]

        [8]

        [9]

        [10]

        [11]

        [12]

      • [1]

        [2]

        [3]

        [4]

        [5]

        [6]

        [7]

        [8]

        [9]

        [10]

        [11]

        [12]

      • [1] 凌宏胜, 田佳欣, 周淑娜, 魏达秀.Ising耦合体系中量子傅里叶变换的优化. 必威体育下载 , 2015, 64(17): 170301.doi:10.7498/aps.64.170301
        [2] 赵欣慰, 金韬, 池灏, 曲嵩.不同光照条件下水下成像背景光的建模与研究. 必威体育下载 , 2015, 64(10): 104201.doi:10.7498/aps.64.104201
      计量
      • 文章访问数:6235
      • PDF下载量:291
      • 被引次数:0
      出版历程
      • 收稿日期:2015-08-15
      • 修回日期:2015-11-13
      • 刊出日期:2016-02-05

        返回文章
        返回
          Baidu
          map