非自治动力系统的点态弱混合性质和李-约克灵敏度

IF 0.4 Q4 MATHEMATICS Journal of Dynamical Systems and Geometric Theories Pub Date : 2020-01-02 DOI:10.1080/1726037X.2020.1779972

Mona Effati, A. Z. Bahabadi, B. Honary

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引用次数: 1

摘要

摘要本文提出了自治（ADS）和非自治（NDS）动力系统点态弱混合性质（PWMP）的新概念。我们发现，如果NDS（X，f1，∞）具有PWMP，则X中的近端细胞密集，此外NDS是敏感的。进一步证明了NDS（X，f1，∞）是李-约克敏感的，也是具有逐点弱混合性质的稠密李-约克混沌。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems

Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.

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Journal of Dynamical Systems and Geometric Theories MATHEMATICS-

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