| 数组微分方程组广义同步系统理论研究 |
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| 引用本文： | 张丽丽,雷友发. 数组微分方程组广义同步系统理论研究[J]. 系统工程与电子技术, 2006, 28(7): 1067-1069 |
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| 作者姓名： | 张丽丽 雷友发 |
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| 作者单位： | 1. 广东工业大学应用数学学院,广东,广州,510090
2. 仲恺农业技术学院计算科学系,广东,广州,510225 |
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| 摘 要： | 实现数组微分动力系统广义同步是进行图像保密通信的前提。在引入映射在矩阵域中下降这一新定义的基础上,提出了一个实现数组微分动力系统广义同步的新定理,给出了广义系统初始条件选取的方法,据此可构造通过线性变换达到广义同步的数组微分动力系统,即理论上可以构造出图像保密通信的发射系统和接收系统。通过引入实例,说明该定理构造一个广义同步的数组微分动力系统。数值模拟结果结果表明,运用定理构造成的数组广义同步系统实现了混沌广义同步。
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| 关 键 词： | 混沌 数组广义同步 数值模拟 数字图像保密通信 |
| 文章编号： | 1001-506X(2006)07-1067-03 |
| 修稿时间： | 2005-03-09 |
Theorem study on generalized synchronization for array differential equations and its application |
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| ZHANG Li-li,LEI You-fa. Theorem study on generalized synchronization for array differential equations and its application[J]. System Engineering and Electronics, 2006, 28(7): 1067-1069 |
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| Authors: | ZHANG Li-li LEI You-fa |
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| Abstract: | The realization of generalized synchronization(GS) of array differential dynamical systems is the premise of image secure communication.Based on the introduction of the new definition of a map decreasing in matrix domain,the new theorem on achieving GS of array differential dynamical systems is presented.It can be used to construct the array differential dynamical systems in GS with respect to linear transformations.It can also be used to construct the sending system and the receiving system theoretically.An example is given to illustrate how to gain the array differential dynamical systems in GS on the base of the new theorem.Numerical simulations show that the given systems in GS above display chaotic GS.Based on the scheme which has been presented,the new theorem and the example will be used for digital image transformation.Besides,the initial conditions'selection of the systems in GS is provided. |
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| Keywords: | chaos array generalized synchronization numerical simulation digital image transformation |
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