On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields |
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Authors: | Lubomir Gavrilov |
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Institution: | 1. Institut de Mathématiques de Toulouse, Toulouse, France
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Abstract: | We prove that the number of limit cycles which bifurcate from a two-saddle loop of an analytic planar vector field X 0 under an arbitrary finite-parameter analytic deformation X λ , λ ∈ (? N , 0), is uniformly bounded with respect to λ. |
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