Li–Yorke sensitivity for semigroup actions

Autor:	O. V. Rybak
Rok vydání:	2013
Předmět:	Combinatorics Metric space Compact space Mixing (mathematics) Dynamical systems theory Semigroup General Mathematics Sensitivity (control systems) Abelian group Space (mathematics) Mathematics
Zdroj:	Ukrainian Mathematical Journal. 65:752-759
ISSN:	1573-9376 0041-5995
Popis:	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 e such that, for any point x ∈ X and any open neighborhood U of this point, one can find a point y ∈ U for which the following conditions are satisfied: (i) d(g(x), g(y)) > e for infinitely many g ∈ G, (ii) for any δ > 0; there exists h ∈ G satisfying the condition d(h(x), h(y))
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1812fb489a467141d49454eba98e0e2c https://doi.org/10.1007/s11253-013-0811-9 Zobrazit plný text záznamu Plný text ve formátu PDF