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arxiv: 0906.4363 · v2 · pith:GQHBEBZNnew · submitted 2009-06-23 · 🧮 math.DS

On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields

classification 🧮 math.DS
keywords cyclesanalytichamiltonianlimitnumbertwo-saddlevectorappear
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We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under an analytic deformation.

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