Perturbations of quadratic Hamiltonian two-saddle cycles
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🧮 math.DS
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quadraticcycleshamiltoniantwo-saddlearbitrarybifurcatedeformationequal
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We prove that the number of limit cycles, which bifurcate from a two-saddle loop of a planar quadratic Hamiltonian system, under an arbitrary quadratic deformation, is less than or equal to three.
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