Detailed Information on Publication Record
2018
Li-Yorke sensitive and weak mixing dynamical systems
MLÍCHOVÁ, MichaelaBasic information
Original name
Li-Yorke sensitive and weak mixing dynamical systems
Authors
MLÍCHOVÁ, Michaela (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Difference Equations and Applications, Abingdon, Taylor and Francis Ltd. 2018, 1023-6198
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19610/18:A0000028
Organization unit
Mathematical Institute in Opava
UT WoS
000427557900003
Keywords in English
Li-Yorke sensitivity; weak mixing system; extension of system; skew-product
Tags
International impact, Reviewed
Změněno: 3/4/2019 12:56, Mgr. Aleš Ryšavý
Abstract
V originále
Akin and Kolyada in 2003 [E. Akin, S. Kolyada, Li–Yorke sensitivity, Nonlinearity 16 (2003), pp. 1421–1433] introduced the notion of Li–Yorke sensitivity. They proved that every weak mixing system (X, T), where X is a compact metric space and T a continuous map of X is Li–Yorke sensitive. An example of Li–Yorke sensitive system without weak mixing factors was given in [M. Čiklová, Li–Yorke sensitive minimal maps, Nonlinearity 19 (2006), pp. 517–529] (see also [M. Čiklová-Mlíchová, Li–Yorke sensitive minimal maps II, Nonlinearity 22 (2009), pp. 1569–1573]). In their paper, Akin and Kolyada conjectured that every minimal system with a weak mixing factor, is Li–Yorke sensitive. We provide arguments supporting this conjecture though the proof seems to be difficult.