A general class of centers for the Poincaré problem (Q1029130)
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: A general class of centers for the Poincaré problem |
scientific article; zbMATH DE number 5577095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general class of centers for the Poincaré problem |
scientific article; zbMATH DE number 5577095 |
Statements
A general class of centers for the Poincaré problem (English)
0 references
9 July 2009
0 references
For the system \[ {dx\over dt}= -y- p(x,y),\quad {dy\over dt}= x+ q(x,y), \] where \(p\), \(q\) are homogeneous polynomials of degree \(n\geq 2\), it is obtained sufficient center conditions in case of \(n= 4,5,6,7,8\) are obtained.
0 references
center-focus problem
0 references
Abel differential equation
0 references
symmetric centers
0 references
