Geometric Lorenz attractor and orbital shadowing property (Q2812604)
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: GEOMETRIC LORENZ ATTRACTOR AND ORBITAL SHADOWING PROPERTY |
scientific article; zbMATH DE number 6594589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric Lorenz attractor and orbital shadowing property |
scientific article; zbMATH DE number 6594589 |
Statements
17 June 2016
0 references
geometric Lorenz model
0 references
strange attractor
0 references
orbital shadowing
0 references
Geometric Lorenz attractor and orbital shadowing property (English)
0 references
In [J. Math. Soc. Japan 37, 489--514 (1985; Zbl 0552.58020)] \textit{M. Komuro} proved that the geometric Lorenz attractor satisfies the shadowing property if and only if \(f(0)=0\) and \(f(1)=1\). The authors of this paper prove that the geometric Lorenz attractor satisfies the orbital shadowing property if and only if \(f(0)=0\) and \(f(1)=1\).NEWLINENEWLINEThe orbital shadowing property that is in use here is the variant for continuous-time flows.
0 references
