Linear Stability of Periodic Trajectories in Inverse Magnetic Billiards
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 and circular arcs outside . Explicit examples are calculated in circles, ellipses, and the one parameter family of curves x2k+y2k=1. Comparisons are made to the linear stability of periodic billiard and magnetic billiard trajectories.
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