Numerical simulations of magnetic billiards in a convex domain in $\mathbb{R}^2$
Peter Albers, Gautam Dilip Banhatti, Michael Herrmann
TL;DR
This paper presents numerical simulations of magnetic billiards within convex planar domains, exploring the dynamics of particles under magnetic influence in a bounded convex area.
Contribution
The study introduces a numerical approach to simulate magnetic billiards in convex domains, providing insights into their dynamical behavior.
Findings
Demonstrated the feasibility of numerical simulations for magnetic billiards.
Analyzed the effects of magnetic fields on billiard trajectories.
Provided visualizations of particle paths under magnetic influence.
Abstract
We present numerical simulations of magnetic billiards inside a convex domain in the plane.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Stochastic processes and statistical mechanics