Cubic Perturbations of Symmetric elliptic Hamiltonians of degree four in a Complex domain
作者： Bassem Ben Hamed , Ameni Gargouri , Lubomir Gavrilov
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摘要: We consider arbitrary one-parameter cubic deformations of the Duffing oscillator $x"=x-x^3$. In case when first Melnikov function $M_1$ vanishes, but $M_2\neq 0$ we compute general form $M_2$ and study its zeros in a suitable complex domain.
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