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Chaos, attraction, and control for semigroup actions
Semigroup Forum ( IF 0.7 ) Pub Date : 2020-02-19 , DOI: 10.1007/s00233-020-10093-7
Josiney A. Souza , Hélio V. M. Tozatti

This manuscript studies sensitivity and chaos for semigroup actions on completely regular spaces. The main results explain how the notions of attraction and control play a fundamental role in the investigation of Auslander–Yorke and Li–Yorke chaos. A general type of non-chaotic semigroup action is exhibited and a criterium for chaos in control systems is presented.

中文翻译:

半群行动的混沌、吸引力和控制

这份手稿研究了完全规则空间上半群动作的敏感性和混沌。主要结果解释了吸引力和控制的概念如何在 Auslander-Yorke 和 Li-Yorke 混沌的研究中发挥重要作用。展示了一般类型的非混沌半群作用,并提出了控制系统中混沌的判据。
更新日期:2020-02-19
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