过饱和集中的分布混沌

中文摘要 AI 辅助

我们研究了非均匀规范性质下过饱和集中的分布混沌。我们证明，对于任何具有非均匀规范性质的动力系统，每个非空过饱和集都表现出第一类分布混沌。我们进一步为某些过饱和集之差表现出第一类分布混沌提供了充分条件。我们还构造了例子，表明其中一些条件是最优的。

英文摘要

We study distributional chaos in over-saturated sets under the non-uniform specification property. We prove that for any dynamical system with the non-uniform specification property, every non-empty over-saturated set exhibits distributional chaos of type 1. We further provide sufficient conditions for certain differences of over-saturated sets to exhibit distributional chaos of type 1. We also construct examples showing that some of these conditions are optimal.

发表机构

• School of Mathematical Sciences, Fudan University（复旦大学数学科学学院）

机构由 AI 辅助整理，请以论文原文为准。