# The Periodic Point and Topological Entropy of a Line Segment Mapping Itself f∈C~0(I)

@inproceedings{Jian2001ThePP, title={The Periodic Point and Topological Entropy of a Line Segment Mapping Itself f∈C~0(I)}, author={Cheng Jian}, year={2001} }

This paper, that periodic point of increased with λ times was proved, which f possessed constant slope λ1 and it is a line segment mapping itself, f∈C 0(I) . At the same time, ent( f )=logλ and Per( f ) =I were proved, when the ent( f )0, the magnitude of ent (f) is only a measure with the speed of chaos state arisen.