On the periodic point set of a n-dimensional self-mapping;

The existence theorem of the periodic point of the tree map;

Condition of the continuous self-mapping of unit solid body in R~n with prime periodic points;

By discussing iteration, fixed points and period points of Tent map, this paper deals with the dynamical behaviors of Tent map.

We have provided an example to show that the conclusion in [2,P83] that f has a fixed point is wrong, and proved that f must have fixed points or period points.

Also, we discuss period points for the Henon mapping.

In this paper, characters about eventually periodic points of δ and σ are studied ,it is proved that δ and σ on the symbolic space Σ 2 have the same eventually periodic points set , i.

Furthermore, the characters of periodic points of the comparing map δ are studied, and several equivalent conditions for certain periodic points and generalized periodic points are obtained.

Taking the one dimension tent map as an example,this paper proves that the map has numerous limited periodic points by using the Sharkovskii Theory,which shows why weak keys exist.

Condition of the continuous self-mapping of unit solid body in R~n with prime periodic points;

Nitecki indicate the equal value of the special abnormal point,abnormal point and prime periodic point,respectively.

Nitecki indicates respectively the equalvalue of the spcial heterochinic,point,heterochinic point and prime periodic point.

The results showed that the J2 perturbation can not affect the relative movement of satellites in formation when the satellites have equal orbital nodal periods and nodal pr.

Then,the relationship among nodal period,fundamental interval and orbital altitude was educed by deriving the definitions of fictitious node.