Oscillations near separatrix for perturbed Duffing equation

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dc.creatorKiselev, O. M.
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:01Z
dc.date.available2026-07-07T12:57:01Z
dc.descriptionA periodic perturbation generates a complicated dynamics close to separatrices and saddle points. We construct an asymptotic solution which is close to the separatrix for the unperturbed Duffing's oscillator over a long time. This solution is defined by a separatrix map. This map is obtained for any order of the perturbation parameter. Properties of this map show an instability of a motion for the perturbed system.
dc.description17 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0903.4523
dc.identifierhttp://arxiv.org/abs/0903.4523
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224783
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.titleOscillations near separatrix for perturbed Duffing equation
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