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… Click to show full abstract
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.
Keywords:
semigroup actions;
attraction control;
control;
chaos attraction
Journal Title: Semigroup Forum
Year Published: 2020
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Journal Title: Semigroup Forum
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!