Hamiltonian systems: symbolical, numerical and graphical study
For researchers studying Hamiltonian dynamics, this provides a practical tool demonstration but is incremental, combining existing software.
This paper demonstrates the use of two Maxima packages (pdynamics and poincare) and KeTCindy scripts for symbolic, numerical, and graphical analysis of Hamiltonian systems, including Poincaré sections and animations.
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 Poincaré sections, including animation movies.