Geometric Numerical Integration Applied to The Elastic Pendulum at Higher Order Resonance
Chaotic Dynamics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0008033,
title = {Geometric Numerical Integration Applied to The Elastic Pendulum at Higher Order Resonance},
author = {J. M. Tuwankotta and G. R. W. Quispel},
journal= {arXiv preprint arXiv:nlin/0008033},
year = {2007}
}
Comments
15 pages, 6 figures