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。
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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2006年第7期1067-1069,共3页
Systems Engineering and Electronics
关键词
混沌
数组广义同步
数值模拟
数字图像保密通信
chaos
array generalized synchronization
numerical simulation
digital image transformation
