2000/08/25 by J. M. Tuwankotta, Johan Matheus Tuwankotta, Tuwankotta, J. M. +3
Engineering · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Numerical methods for differential equations #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0008033
15 pages, 6 figures
arxiv created 2000/08/25 · openalex publication_date 2000/08/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.