𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Characterization of the rotation set and existence of periodic points of endomorphisms of a circle

✍ Scribed by W. Li

Publisher
Springer US
Year
1997
Tongue
English
Weight
410 KB
Volume
83
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The set of periods of periodic points of
The set of periods of periodic points of a linear operator
✍ K. Ali Akbar; V. Kannan; Sharan Gopal; P. Chiranjeevi πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 123 KB

In this article, subsets of N that can arise as sets of periods of linear operators on the spaces C n , R n and l 2 are characterized.

The periodic points and the invariant se
The periodic points and the invariant set of an Ο΅-contractive map
✍ Changming Ding; S.B. Nadler Jr. πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 732 KB

## It is shown that the invariant set of an c-contractive map f on a compact metric space X is the same as the set of periodic points of f. Furthermore, the set of periodic points of f is finite and, only assuming that X is locally compact, there is at most one periodic point in each component X.