Sensitivity of non-autonomous discrete dynamical systems revisited

摘要

In this note, we construct a transitive non-autonomous discrete system with strongly periodic density which is not sensitive. Besides, we prove that every transitive non-autonomous discrete system with almost periodic density is syndetically sensitive, provided that it converges uniformly to a map, and that a product system is multi-sensitive (resp., (mathcal{F})-sensitive) if and only if there exists a factor system is multi-sensitive (resp., (mathcal{F})-sensitive), where (mathcal{F}) is a filterdual.