Perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain
classification
🧮 math.DS
keywords
complexdomainannulusassociatedasymmetricallybifurcationcompletecyclicity
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The cyclicity of the exterior period annulus of the asymmetrically perturbed Duffing oscillator is a well known problem extensively studied in the literature. In the present paper we provide a complete bifurcation diagram for the number of the zeros of the associated Melnikov function in a suitable complex domain.
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