Title of article
A general class of centers for the Poincaré problem
Author/Authors
F Nicklason، نويسنده , , G.R.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
6
From page
75
To page
80
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 .
Keywords
Center-focus problem , Abel differential equation , Symmetric centers
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560419
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