Parameter-induced fractal erosion of the safe basin in a softening Duffing oscillator
作者： Shanguo Yang , None
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摘要: The parameter-induced fractal erosion of the safe basin is investigated in a softening Duffing system. For fixed excitation, we make linear stiffness, nonlinear stiffness and damping coefficient as control parameter. At first, necessary condition for obtained by Melnikov method. Then, analytical predications are verified numerical simulations. With variation or coefficient, will appear vanish. Both influence topology basin. increase at first then disappear gradually. area an increasing function stiffness. appears turns smaller. independent coefficient. small occurs much more easily. suppresses
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