Abstract
In the following text we prove that for bijection ϕ : N → N
and discrete set {1, . . . , k} with k ≥ 2, the generalized shift dynamical
system ({1, . . . , k}
N, σϕ) is e−chaotic, (expansive, positively expansive)
if and only if {{ϕ
i
(n) : i ∈ Z} : n ∈ N} is a finite partition of N (or
equivalently there exists N ∈ N such that N =
S
{ϕ
i
({1, . . . , N}) : i ∈
Z}).
Fatemah Ayatollah Zadeh Shirazi, Hooman Zabeti. (2015) e−Chaotic Generalized Shift Dynamical Systems, Punjab University Journal of Mathematics, Volume 47, Issue 1.
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