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Pàgina inicial > Articles > Articles publicats > Centers and isochronous centers for two classes of generalized seventh and ninth systems |
Data: | 2010 |
Resum: | 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. Note that if j = 0 and d = 7 we obtain a special case of seventh polynomial differential systems which can have a center at the origin, and if j = 1 and d = 9 we obtain a special case of ninth polynomial differential systems which can have a center at the origin. |
Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-00550 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Publicat a: | Journal of dynamics and differential equations, Vol. 22, Issue 4 (December 2010) , p. 657-675, ISSN 1572-9222 |
Postprint 22 p, 801.7 KB |