Generic and dense distributional chaos with shadowing
Generic and dense distributional chaos with shadowing
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DOI：
10.1080/10236198.2021.1990901
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发表时间：
2021-03
影响因子：
1.1
通讯作者：
Noriaki Kawaguchi
中科院分区：
文献类型：
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作者：
Noriaki Kawaguchi
对于紧致度量空间的连续自映射，我们考虑Lasota和Snoha引入的一般混沌和稠密混沌的概念，以及它们在跟踪假设下对分布混沌的变化.给出了广义均匀（分布）混沌在链上的一些等价性质，并证明了它们在跟踪下与广义（分布）混沌的等价性。最后给出了几个例子来说明主要结果。
For continuous self-maps of compact metric spaces, we consider the notions of generic and dense chaos introduced by Lasota and Snoha, and their variations for the distributional chaos, under the assumption of shadowing. We give some equivalent properties to generic uniform (distributional) chaos in terms of chains and prove their equivalence to generic (distributional) chaos under the shadowing. Several examples illustrating the main results are also given.