F. AYATOLLAH ZADEH SHIRAZI - UNIVERSITY OF TEHRAN
F. EBRAHINIFAR - UNIVERSITY OF TEHRAN
A. GHARAGOZLOU - K. N. TOOSI UNIVERSITY OF TECHNOLOGY

‎In the following text for arbitrary $X$ with at least two elements‎, ‎nonempty countable set $Gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(X^Gamma,sigma_varphi)$ where $varphi:GammatoGamma$ is an arbitrary self-map‎. ‎We pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding Devaney‎, ‎exact Devaney‎, ‎Li-Yorke‎, ‎e-chaoticity and P-chaoticity‎.

Devaney chaos, Exact Devaney chaos, Distributional chaos, e-chaos, Generalized shift, Li-Yorke chaos, P-chaos, !