Affiliation:
1. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China
2. Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, China
Abstract
LetC0(I)be the set of all continuous self-maps of the closed intervalI,andP(u,v)={f∈C0(I):fhas a cycle with rotation pair(u,v)}for any positive integerv>u. In this paper, we prove that if(2mns,2mnt)⊣(γ,λ), thenP(2mns,2mnt)⊂ int P(γ,λ), wherem≥0is integer,n≥1odd,1≤s<twiths,tcoprime, and1≤γ<λ.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis