Centers for a 6-parameter family of polynomial vector fields of arbitrary degree |
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| Authors: | Jaume Llibre Clàudia Valls |
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| Institution: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
b Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal |
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| Abstract: | For all non-negative integers n1,n2,n3,j1,j2 and j3 with nk+jk>1 for k=1,2,3, (nk,jk)≠(nl,jl) if k≠l, j3=n3−1 and jk≠nk−1 for k=1,2, we study the center variety of the 6-parameter family of real planar polynomial vector  given, in complex notation, by  , where z=x+iy and A,B,C∈C\{0}. |
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| Keywords: | primary 34C05 secondary 58F14 |
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