Polynomial differential systems with even degree have no global centers
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DOI: 10.1016/j.jmaa.2021.125281
Abstract: Abstract Let x ˙ = P ( x , y ) , y ˙ = Q ( x , y ) be a differential system with P and Q real polynomials, and let d =… read more here.
Keywords: differential systems; polynomial differential; degree global; even degree ... See more keywords
Centers for the Kukles homogeneous systems with even degree
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DOI: 10.11948/2017093
Abstract: For the polynomial differential system x˙ = −y, y˙ = x+Qn(x; y), where Qn(x; y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true… read more here.
Keywords: system; systems even; kukles homogeneous; even degree ... See more keywords