Planar real polynomial differential systems of degree n>3 having a weak focus of high order
We construct planar polynomial differential systems of even (respectively odd) degree n>3, of linear form plus a nonlinear homogeneous part of degree n having a weak focus of order n2-1, respectively (n2-1)/2, at the origin. As far as we know this provides the highest order know until now for a weak focus of a polynomial differential system of arbitrary degree n.
Autor(es):Llibre, Jaume;
Rabanal, Roland
Año: 2012
Título de la revista: The Rocky Mountain Journal of Mathematics
Volumen: 42
Número: 2
Página inicial - Página final: 657-693
Url: http://www.ams.org/mathscinet/pdf/2915513.pdf