Duffing-Type Oscillator with a Bounded from above Potential in the Presence of Saddle-Center Bifurcation and Singular Perturbation: Frequency Control

Vrabel Robert<sup>*</sup>; Tanuska Pavol; Vazan Pavel; Schreiber Peter; Liska Vladimir

doi:10.1155/2013/848613

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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

作者：Vrabel Robert^*; Tanuska Pavol; Vazan Pavel; Schreiber Peter; Liska Vladimir

来源：Abstract and Applied Analysis, 2013, 2013: 848613.

DOI：10.1155/2013/848613

摘要

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.