Poincare Sections of Hamiltonian Systems
E.S.Cheb-Terrab, H.P. de Oliveira (Symb. Comp. Group, DFT-UERJ,, Brazil)
TL;DR
This paper introduces a software package that simplifies the visualization of Poincaré surfaces-of-section in Hamiltonian systems, aiding researchers in analyzing complex dynamical behaviors.
Contribution
It provides a set of Maplev R.3 routines for easy plotting and setup of Hamiltonian systems' Poincaré sections, enhancing computational analysis tools.
Findings
Enables quick visualization of 2D/3D Poincaré sections
Facilitates setup of Hamiltonian equations and initial conditions
Includes zooming and plotting commands for detailed analysis
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.
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