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 |
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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. |
Databáze: | Directory of Open Access Journals |
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