Billiards: At the intersection of Physics, Geometry and Computer Algebra Systems

We study the properties of billiards (mainly elliptical) as dynamical systems, in particular, their integrability, and the existence and computation of periodic orbits. An implementation of the involved computations in a free CAS (Maxima) is also presented, as a tool for visualization and experiment...

Full description

Saved in:
Bibliographic Details
Published inThe electronic journal of mathematics & technology Vol. 19; no. 1; pp. 31 - 50
Main Author Vallejo, Jose A
Format Journal Article
LanguageEnglish
Published Mathematics and Technology, LLC 01.02.2025
Subjects
Algebra
Billiards
Computational physics
Dynamical systems
Geometry
Online education
Tests, problems and exercises
Spain
Online AccessGet full text
ISSN1933-2823
1933-2823

Cover

More Information
Summary:We study the properties of billiards (mainly elliptical) as dynamical systems, in particular, their integrability, and the existence and computation of periodic orbits. An implementation of the involved computations in a free CAS (Maxima) is also presented, as a tool for visualization and experimentation, which can be useful in web-based courses and distance learning.
ISSN:1933-2823
1933-2823