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.

中文翻译：

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非自治系统中的灵敏度和性质P

我们证明了在非自治系统的特定条件下，不同更强形式的灵敏度的等效性，并提供了等效性通常不成立的示例。我们还证明了，如果具有一组几乎是周期密集的密集点的非最小拓扑可传递非自治系统一致地收敛，那么它在聚合上就很敏感。此外，我们介绍了非自治系统的性质P的概念，对其进行了一般性的研究和对某些诱导系统的研究。