TY - JOUR
A2 - Xia, Yonghui
AU - Taherkhani, Bahman
AU - Ayatollah Zadeh Shirazi, Fatemah
PY - 2015
DA - 2015/01/05
TI - On Transitive Points in a Generalized Shift Dynamical System
SP - 519357
VL - 2015
AB - Considering point transitive generalized shift dynamical system (XΓ,σφ) for discrete X with at least two elements and infinite Γ, we prove that X is countable and Γ has at most 2ℵ0 elements. Then, we find a transitive point of the dynamical system (NN×Z,στ) for τ:N×Z→N×Z with τ(n,m)=(n,m+1) and show that point transitive (XΓ,σφ), for infinite countable Γ, is a factor of (NN×Z,στ).
SN - xxxx-xxxx
UR - https://doi.org/10.1155/2015/519357
DO - 10.1155/2015/519357
JF - Chinese Journal of Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -