Dynamical Properties of Strongly Descendible Map on N Dimensional Monomer

The abnormal point has an important significance in terms of theory and application. In order to study dynamical properties of the abnormal point in the high dimensional space, we will give a new concept of strongly descendible map according to the definition of the descendible map. We will study the abnormal point of strongly descendible map by means of properties of interval map and product map and it is respectively given that equivalence conclusion of strongly descendible map with abnormal points and without abnormal points in the n -dimensional monomer. These results further generalize the research of Professor of Xiong and Zhou.