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

Autor: Robert Vrabel, Pavol Tanuska, Pavel Vazan, Peter Schreiber, Vladimir Liska
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2013/848613
Popis: 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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