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Updated: Jul 6, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Prevalence of marginally unstable periodic orbits in chaotic billiards
E G Altmann1, T Friedrich, A E Motter
1Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany.
Abstract:
The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both exist and strongly influence the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.
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