An Abel type cubic system

We consider center conditions for plane polynomial systems of Abel type consisting of a linear center perturbed by the sum of 2 homogeneous polynomials of degrees n and 2n-1 where $n \ge 2$. Using properties of Abel equations we obtain two general systems valid for arbitrary values on n. For the...

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Bibliographic Details
Main Author: Gary R. Nicklason
Format: Article
Language:English
Published: Texas State University 2015-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/189/abstr.html