Li–Yorke sensitivity for semigroup actions

• Date: 2013
• Main Authors: Rybak, O. V., Рибак, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2451
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce and study the concept of Li–Yorke sensitivity for semigroup actions (dynamical systems of the form (X, G), where X is a metric space and G is a semigroup of continuous mappings of this space onto itself). A system (X, G) is called Li–Yorke sensitive if there exists positive ε such that,...