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Symmetry Lines and Periodic Points in the Baker’s Map

✍ Scribed by Abimael Bengochea; Eduardo Piña

Book ID
107650062
Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
399 KB
Volume
7
Category
Article
ISSN
1575-5460

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✍ Changming Ding; S.B. Nadler Jr. 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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.