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首页> 外文期刊>International journal of bifurcation and chaos in applied sciences and engineering >Devaney Chaos in Nonautonomous Discrete Systems
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Devaney Chaos in Nonautonomous Discrete Systems

机译：非自治离散系统中的Devaney混沌

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This paper is concerned with Devaney chaos in nonautonomous discrete systems. It is shown that in its definition, the two former conditions, i.e. transitivity and density of periodic points, in a set imply the last one, i.e. sensitivity, in the case that the set is unbounded, while a similar result holds under two additional conditions in the other case that the set is bounded. Some chaotic behavior is studied for a class of nonautonomous discrete systems, each of which is governed by a convergent sequence of continuous maps. In addition, the concepts of some pseudo-orbits and shadowing properties are introduced for nonautonomous discrete systems, and it is shown that some shadowing properties of the system and density of periodic points imply that the system is Devaney chaotic under the condition that the sequence of continuous maps is uniformly convergent in a compact metric space.
机译：本文涉及非自治离散系统中的Devaney混沌。结果表明，在其定义中，在集合无界的情况下，集合中的前两个条件（即传递性和周期点的密度）表示最后一个条件（即敏感性），而在另外两个条件下保持相似的结果在另一种情况下，集合是有界的。对于一类非自治离散系统，研究了一些混沌行为，每个离散系统都由连续映射的收敛序列控制。此外，还介绍了非自治离散系统的一些伪轨道和遮蔽特性的概念，结果表明，该系统的某些遮蔽特性和周期点的密度暗示了该系统在负序的条件下是德瓦尼混沌的。连续图在紧凑的度量空间中一致收敛。

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