Rotational entropy for annulus homeomorphisms (Q916177)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Rotational entropy for annulus homeomorphisms |
scientific article; zbMATH DE number 4153528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotational entropy for annulus homeomorphisms |
scientific article; zbMATH DE number 4153528 |
Statements
Rotational entropy for annulus homeomorphisms (English)
0 references
1991
0 references
We study admissible rotational behaviors of the orbits of annulus homeomorphisms, isotopic to the identity. Namely, we introduce a topological invariant, designated ``rotational entropy'', that quantifies the rotational complexity of a given mapping. The main result in the paper establishes that: Any annulus homeomorphism, isotopic to the identity, with finitely many periods has zero rotational entropy.
0 references
annulus homeomorphism
0 references
rotational entropy
0 references
