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：

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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。