Hamiltonian Dynamical Systems: Symbolical, Numerical and Graphical Study

Hamiltonian Dynamical Systems: Symbolical, Numerical and Graphical Study

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 (pdynamics and poincare, respectively), along with the set of scripts for obtaining the code correspon...

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Veröffentlicht in:Mathematics in computer science 2019-06, Vol.13 (1-2), p.281-295
Hauptverfasser: Takato, Setsuo, Vallejo, José A.
Format: Artikel
Sprache:eng
Schlagworte:
Animation
Computer Science
Dynamical systems
Graphical representations
Mathematics
Mathematics and Statistics
Numerical analysis
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Zusammenfassung: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 (pdynamics and poincare, respectively), along with the set of scripts for obtaining the code corresponding to graphical representations of Poincaré sections, including animation movies.
ISSN:1661-8270
1661-8289
DOI:10.1007/s11786-019-00396-6