On a class between Devaney chaotic and Li-Yorke chaotic generalized shift dynamical systems

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Maryam Hagh Jooyan +1

In the following text, for finite discrete $X$ with at least two elements, nonempty countable $\Gamma$, and $\phi :\Gamma \to \Gamma$ we prove the generalized shift dynamical system $(X^{\Gamma },{\sigma }_{\phi })$ is dens…