Poincare Sections of Hamiltonian Systems
General Relativity and Quantum Cosmology
2009-10-28 v1 Astrophysics
Abstract
A set of Maplev R.3 software routines, for plotting 2D/3D projections of Poincar\'e surfaces-of-section of Hamiltonian dynamical systems, is presented. The package consists of a plotting-command plus a set of facility-commands for a quick setup of the Hamilton equations of motion, initial conditions for numerical experiments, and for the zooming of plots.
Cite
@article{arxiv.gr-qc/9512042,
title = {Poincare Sections of Hamiltonian Systems},
author = {E. S. Cheb-Terrab and H. P. de Oliveira},
journal= {arXiv preprint arXiv:gr-qc/9512042},
year = {2009}
}
Comments
15 pages, LaTeX, 21 figures, submitted to Computer Physics Communications. Soft-package (On-Line Help) and sample MapleV session available at: ftp://dft.if.uerj.br/poincare or http://dft.if.uerj.br/symbcomp.htm