| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4620027 | Journal of Mathematical Analysis and Applications | 2009 | 6 Pages |
Abstract
We consider the classical Poincaré problem of a linear center perturbed by homogeneous polynomials of degree n⩾2. Using certain parity properties of a related differential equation, we develop a technique for obtaining center conditions for an arbitrary value of n and use it to exhibit explicitly new center conditions for n=4,…,8.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
