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Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control - MaRDI portal

Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control (Q2319187)

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Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control
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    Duffing-type oscillator with a bounded from above potential in the presence of saddle-center bifurcation and singular perturbation: frequency control (English)
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    16 August 2019
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    Summary: We analyze the dynamics of the forced singularly perturbed differential equations of Duffing's type with a potential that is bounded from above. We explain the appearance of the large frequency nonlinear oscillations of the solutions. It is shown that the frequency can be controlled by a small parameter at the highest derivative.
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