دستگاههای دینامیکی شیفت تعمیم یافته، اشوبناک لی-یورک

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scrambled pair;‎ ‎- the map $varphi:GammatoGamma$ has at least‎ one non-quasi-periodic point‎.

Keywords:

Generalized shift , Li-Yorke chaos , Scrambled pair