In this paper, we consider the difference synchronization for different chaotic maps with different dimensions using three scaling matrices. The proposed method allows us to study difference synchronization of two master discrete-time chaotic systems with dimension and one response discrete-time chaotic system with dimension Based on the Lyapunov stability theory and stability property of linear discrete-time systems, controllers are derived to achieve the difference synchronization among three nonidentical discrete-time chaotic systems with different dimensions in two cases: and For the case 2D Fold map and 2D Hnon map are used as the master systems, and the 3D Hitzl-Zele map is chosen as the slave system to simulate the difference synchronization. For the case 3D Stefanski map and 3D Baier-Klein map are adopted as the master systems, and 2D Lorenz discrete-time chaotic system is used as the slave system during the simulation. The numerical simulations illustrate the effectiveness and feasibility of the proposed method.

在本文中，我们考虑使用三个缩放矩阵对具有不同维数的不同混沌映射进行差分同步。该方法使我们能够研究两个具有维的离散离散混沌系统和一个具有维的响应离散混沌系统的差分同步。基于李雅普诺夫稳定性理论和线性离散时间系统的稳定性，推导控制器来实现在以下两种情况下，具有三个不同维度的三个不同离散时间混沌系统之间的差异同步：和对于这种情况，将2D折叠图和2D Hnon映射用作主系统，并选择3D Hitzl-Zele映射作为从系统。模拟差异同步。对于这种情况在仿真过程中，将3D Stefanski映射和3D Baier-Klein映射用作主系统，并使用2D Lorenz离散时间混沌系统作为从系统。数值仿真表明了该方法的有效性和可行性。