Sensitivity and Property P in Non-Autonomous Systems

We prove equivalence of different stronger forms of sensitivity under certain conditions for non-autonomous systems and provide examples wherever equivalence is not true in general. We also prove that if a nonminimal, topologically transitive non-autonomous system having the set of almost periodic points dense converges uniformly, then it is thickly syndetically sensitive. Moreover, we introduce the notion of property P for non-autonomous systems, study it in general and on certain induced systems.