Analytic nilpotent centers with analytic first integral (Q960898)
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: Analytic nilpotent centers with analytic first integral |
scientific article; zbMATH DE number 5687535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic nilpotent centers with analytic first integral |
scientific article; zbMATH DE number 5687535 |
Statements
Analytic nilpotent centers with analytic first integral (English)
0 references
29 March 2010
0 references
This paper considers an analytic system having an isolated nilpotent singularity at the origin: \[ \dot{x}=y+X_2(x,y), \dot{y}=Y_2(x,y). \] A necessary condition for local analytic integrability is given. The condition can be verified using the normal form theory.
0 references
nilpotent centers
0 references
analytics integrability
0 references
planar differential systems
0 references
0 references
0 references
