Ergodicity of a class of truncated elliptical billiards (Q2758135)
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: Ergodicity of a class of truncated elliptical billiards |
scientific article; zbMATH DE number 1679449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodicity of a class of truncated elliptical billiards |
scientific article; zbMATH DE number 1679449 |
Statements
Ergodicity of a class of truncated elliptical billiards (English)
0 references
6 November 2002
0 references
chaoticity
0 references
elliptic billiards
0 references
elliptical domain
0 references
hyperbolicity and ergodicity
0 references
Hyperbolic billiards form a rich and well studied class of dynamical systems with chaotic behaviour. However, there are no rigorously studied examples of billiards with coexistence of hyperbolic and elliptic behaviour. Here the author shows how an elliptical domain could be truncated to ensure hyperbolicity and ergodicity of the corresponding billiard.
0 references
