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22 p, 801.7 KB Centers and isochronous centers for two classes of generalized seventh and ninth systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal))
We classify new classes of centers and of isochronous centers for polynomial differential systems in R2 of arbitrary odd degree d ≥ 7 that in complex notation z = x + iy can be written as z˙=(λ+i)z+(zz)d−7−2j/2 (Az5+jz2+j+Bz4+jz3+j+Cz3+jz4+j+Dz7+2j), where j is either 0 or 1, λ ∈ R and A,B,C ∈ C. [...]
2010 - 10.1007/s10884-010-9175-0
Journal of dynamics and differential equations, Vol. 22, Issue 4 (December 2010) , p. 657-675  
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