Spatiotemporal chaotic systems are widely used for image encryption due to their better chaos, more chaotic sequences and more complex dynamic behavior. This paper proposes a new spatiotemporal chaotic system named Multiple dynamically coupled map lattices (MDCML). The proposed system introduces dynamic coupling parameter, which enhances ergodicity and improves pseudo-randomness and chaos of the system. According to the analysis of Kolmogorov-Sinai entropy, bifurcation diagram and information entropy, it can be proved that the chaotic state of all lattices of the proposed system is very stable. By applying the proposed system, we design a new image encryption algorithm. The proposed algorithm introduces the random-based diffusion strategy, which can greatly reduce the correlation between adjacent pixels. Finally, a large number of experimental results show that our proposed algorithm has high security to resist common attacks and is suitable for image encryption.

时空混沌系统由于具有更好的混沌，更多的混沌序列和更复杂的动态行为而被广泛用于图像加密。本文提出了一个新的时空混沌系统，称为多重动态耦合映射晶格（MDCML）。提出的系统引入了动态耦合参数，增强了遍历性，改善了系统的伪随机性和混乱性。通过对Kolmogorov-Sinai熵，分叉图和信息熵的分析，可以证明所提出系统的所有格的混沌状态是非常稳定的。通过应用提出的系统，我们设计了一种新的图像加密算法。该算法引入了基于随机的扩散策略，可以大大减少相邻像素之间的相关性。最后，