Hamiltonian systems: symbolical, numerical and graphical study
Numerical Analysis
2019-05-14 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Computational Physics
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.
Keywords
Cite
@article{arxiv.1805.05417,
title = {Hamiltonian systems: symbolical, numerical and graphical study},
author = {Setsuo Takato and José A Vallejo},
journal= {arXiv preprint arXiv:1805.05417},
year = {2019}
}
Comments
In order to play the embedded animation, you should use Acrobat Reader. Submitted to Mathematics in Computer Science