M ar 2 00 9 On the cyclicity of weight – homogeneous centers ∗
نویسندگان
چکیده
Let W be a weight–homogeneous planar polynomial differential system with a center. We find an upper bound of the number of limit cycles which bifurcate from the period annulus of W under a generic polynomial perturbation. We apply this result to a particular family of planar polynomial systems having a nilpotent center without meromorphic first integral. 2000 AMS Subject Classification: 34C07, 34C05, 34C14.
منابع مشابه
ar X iv : 0 70 6 . 23 47 v 1 [ m at h . D S ] 1 5 Ju n 20 07 On the cyclicity of weight – homogeneous centers ∗
Let W be a weight–homogeneous planar polynomial differential system with a center. We find an upper bound of the number of limit cycles which bifurcate from the period annulus of W under a generic polynomial perturbation. We apply this result to a particular family of planar polynomial systems having a nilpotent center without meromorphic first integral. 2000 AMS Subject Classification: 34C07, ...
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