讨论了一类耦合映象格子诱导的映射的几种混沌性质.首先给出离散时空系统为$({\mathcal{F}}_1,{\mathcal{F}}_2)$-混沌的充分条件(这使得Tian和Chen(2007)的主要结果成为一个推论). 然后,将映射限制在离散时空系统的对角线上,讨论其稠-$\delta$混沌性(稠混沌性)、spatio-temporal混沌性、敏感性和Li-Yorke敏感性.
最后, 考查了度量的改变对上面所讨论的充分条件的影响.

This paper is concerned with some chaotic properties of the map which is deduced by a kind of coupled map lattices. We give a sufficient condition that discrete spatiotemporal systems are $({\mathcal{F}}_1,{\mathcal{F}}_2)$- chaos (this makes the main result of Tian and Chen(2007) as a corollary of this article). Then, dense-$\delta$ chaoticity (dense chaoticity), spatio-temporal chaoticity, sensitivity and Li-Yorke sensitivity are discussed on the diagonal of the discrete spatiotemporal systems. At last, the sufficient condition discussed above is examined when the metric changes.