355 research outputs found
Geometric Numerical Integration Applied to The Elastic Pendulum at Higher Order Resonance
In 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.Comment: 15 pages, 6 figure
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