Hamiltonian systems: symbolical, numerical and graphical study
Setsuo Takato, Jos\'e A Vallejo
TL;DR
This paper demonstrates the use of Maxima packages for symbolic and numerical analysis of Hamiltonian systems, along with scripts for generating LaTeX graphics and animations of Poincaré sections.
Contribution
It introduces specific Maxima tools and scripts for comprehensive symbolic, numerical, and graphical study of Hamiltonian dynamical systems.
Findings
Effective symbolic and numerical analysis of Hamiltonian systems
Generation of LaTeX graphics and animations of Poincaré sections
Practical tools for visualizing Hamiltonian dynamics
Abstract
Hamiltonian dynamical systems can be studied from a variety of viewpoints. Our intention in this paper is to show some examples of usage of two Maxima packages for symbolical and numerical analysis (\texttt{pdynamics} and \texttt{poincare}, respectively), along with the set of scripts \KeTCindy\ for obtaining the \LaTeX\ code corresponding to graphical representations of Poincar\'e sections, including animation movies.
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