Abstract
AbstractLet f be a continuous map of the circle to itself. Let P(f) denote the set of periods of the periodic points. In this paper the set P(f) is studied for functions without fixed points, so 1∉P(f). In particular, it is shown that if s, t are the two smallest integers in P(f) and s and t are relatively prime then αs+βt∈P(f) for any positive integers α and β.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference5 articles.
1. [2] Block L. . Periods of periodic points of the circle which have a fixed point. Proceedings of the A.M.S. (to appear).
2. Periodic orbits of continuous mappings of the circle
3. [4] Newhouse S. , Palis J. & Takens F. . Stable families of dynamical systems. I: Diffeomorphisms. Preprint: IMPA, Brazil.
4. Topological Dynamics on the Interval
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献