Counting uniformly attracting solutions of nonautonomous differential equations (Q932376)
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: Counting uniformly attracting solutions of nonautonomous differential equations |
scientific article; zbMATH DE number 5299831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting uniformly attracting solutions of nonautonomous differential equations |
scientific article; zbMATH DE number 5299831 |
Statements
Counting uniformly attracting solutions of nonautonomous differential equations (English)
0 references
11 July 2008
0 references
The author studies the question how many uniformly attracting solutions a given nonautonomous differential equations has. As examples in the paper show, there can be infinitely many such solutions, even if the right hand side is real-analytic and one only counts solutions in a certain compact subset of the phase space. Only finitely many uniformly attracting solutions, however, exist in the case when the right hand side is period, asymptotically autonomous or a polynomial with bounded time-dependent coefficients.
0 references
nonautonomous dynamical system
0 references
attractor
0 references
repellor
0 references
polynomial differential equation
0 references
Poincaré map
0 references
