Computation of rotation numbers for a class of PL-circle homeomorphisms (Q445208)
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: Computation of rotation numbers for a class of PL-circle homeomorphisms |
scientific article; zbMATH DE number 6072006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of rotation numbers for a class of PL-circle homeomorphisms |
scientific article; zbMATH DE number 6072006 |
Statements
Computation of rotation numbers for a class of PL-circle homeomorphisms (English)
0 references
24 August 2012
0 references
piecewise linear circle homeomorphism
0 references
rotation number
0 references
conjugacy
0 references
jump
0 references
\((D)\)-property
0 references
The authors focuses on piecewise linear circle homeomorphisms satisfying the \((D)\)-property (which means that the product of \(f\)-jumps in the break points \(x\), \(\frac{Df_{-}(x)}{Df_{+}(x)}\), on each orbit is \(1\)). For these homeomorphisms they give a formula to compute the rotation number.NEWLINENEWLINEAs particular cases they explicit the way of computing the rotation numbers of piecewise linear Herman's examples and affine Boshernitzan.
0 references
