# NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION

• Li, Lin (DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY)
• Published : 2007.05.31

#### Abstract

Being complicated in computation, iteration of a nonlinear 1-dimensional mapping makes many interesting problems, one of which is about the change of the number of vertices under iteration. In this paper we investigate iteration of polygonal functions which each have only one vertex and give conditions under which the number of vertices either does not increase or has a bound under iteration.