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

Róbert Vrábeľ | Zendy; Pavol Tanuška | Zendy; Pavel Važan | Zendy; Peter Schreiber | Zendy; Vladimír Liška | Zendy

Open Access

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

Author(s) -

Róbert Vrábeľ,

Pavol Tanuška,

Pavel Važan,

Peter Schreiber,

Vladimír Liška

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/848613

Subject(s) - mathematics , duffing equation , bounded function , singular perturbation , bifurcation , mathematical analysis , nonlinear system , saddle , perturbation (astronomy) , physics , quantum mechanics , mathematical optimization

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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