Stability Analysis of the Helmholtz Oscillator with Time Varying Mass

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dc.creatorMorrison, Richard A.
dc.date2007-01-21
dc.date.accessioned2026-07-07T07:42:22Z
dc.date.available2026-07-07T07:42:22Z
dc.descriptionWe study the effects of periodically time varying mass on the stability of the Helmholtz oscillator, which, when linearised, takes the form of Ince's equation and exhibits parametric resonance. The resonance regions in the parameter space are mapped and we use the Melnikov function to demonstrate that the parametric instability does not affect the qualitative dynamics of the nonlinear system.
dc.description10 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0701593
dc.identifierhttp://arxiv.org/abs/math/0701593
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122417
dc.subjectDynamical Systems
dc.subject34D10; 70K20
dc.titleStability Analysis of the Helmholtz Oscillator with Time Varying Mass
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