Constant invariant solutions of the Poincare center-focus problem
We consider the classical Poincare problem $$ frac{dx}{dt}=-y-p(x,y),quad frac{dy}{dt}=x+q(x,y) $$ where $p,q$ are homogeneous polynomials of degree $n geq 2$. Associated with this system is an Abel differential equation $$ frac{dho}{dheta}=psi_3ho^3 + psi_2ho^2 $$ in which the coefficients...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/130/abstr.html |