Chaotic maps, control parameter, and Liapunov exponent (Q1303480)
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: Chaotic maps, control parameter, and Liapunov exponent |
scientific article; zbMATH DE number 1337725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaotic maps, control parameter, and Liapunov exponent |
scientific article; zbMATH DE number 1337725 |
Statements
Chaotic maps, control parameter, and Liapunov exponent (English)
0 references
16 September 1999
0 references
It is known that for the Hénon map or driven anharmonic oscillators the Lyapunov exponent is a discontinuous function of a control parameter. Here the authors present a one-dimensional map \(f_q: [0,1]\to [0,1]\), where \(q\) is a control parameter and show that the Lyapunov exponent is a smooth function of the control parameter \(q\).
0 references
Hénon map
0 references
anharmonic oscillators
0 references
Lyapunov exponent
0 references
