Year: 2025
Type: article
Abstract: We study the stability of periodic trajectories of planar inverse magnetic billiards, a dynamical system whose trajectories are straight lines inside a connected planar domain \Omega and (magnetic) Larmor arcs outside \Omega . Explicit examples are calculated in circles, ellipses, and the one parameter family of curves x^{2k} + y^{2k} = 1 . Comparisons are made to the linear stability of periodic billiard and magnetic billiard trajectories.
Author: Sean Gasiorek
Institution: California Polytechnic State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Stony Brook University
OpenAlex ID: W4417324904