Geometric Numerical Integration Applied to The Elastic Pendulum at Higher Order Resonance

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dc.creatorTuwankotta, J. M.
dc.creatorQuispel, G. R. W.
dc.date2000-08-25
dc.date.accessioned2026-07-07T05:32:59Z
dc.date.available2026-07-07T05:32:59Z
dc.descriptionIn this paper we study the performance of a symplectic numerical integrator based on the splitting method. This method is applied to a subtle problem i.e. higher order resonance of the elastic pendulum. In order to numerically study the phase space of the elastic pendulum at higher order resonance, a numerical integrator which preserves qualitative features after long integration times is needed. We show by means of an example that our symplectic method offers a relatively cheap and accurate numerical integrator.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/nlin/0008033
dc.identifierhttp://arxiv.org/abs/nlin/0008033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79851
dc.subjectChaotic Dynamics
dc.titleGeometric Numerical Integration Applied to The Elastic Pendulum at Higher Order Resonance
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