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

Robert Vrabel, Pavol Tanuska, Pavel Vazan, Peter Schreiber and Vladimir Liska

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/848613

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:848613

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