On Chaotic Dynamics in Rational Polygonal Billiards

Simple item page
dc.creatorKokshenev, Valery B.
dc.date2005-11-25
dc.date.accessioned2026-07-07T09:34:22Z
dc.date.available2026-07-07T09:34:22Z
dc.descriptionWe discuss the interplay between the piece-line regular and vertex-angle singular boundary effects, related to integrability and chaotic features in rational polygonal billiards. The approach to controversial issue of regular and irregular motion in polygons is taken within the alternative deterministic and stochastic frameworks. The analysis is developed in terms of the billiard-wall collision distribution and the particle survival probability, simulated in closed and weakly open polygons, respectively. In the multi-vertex polygons, the late-time wall-collision events result in the circular-like regular periodic trajectories (sliding orbits), which, in the open billiard case are likely transformed into the surviving collective excitations (vortices). Having no topological analogy with the regular orbits in the geometrically corresponding circular billiard, sliding orbits and vortices are well distinguished in the weakly open polygons via the universal and non-universal relaxation dynamics.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0511076
dc.identifierhttp://arxiv.org/abs/math-ph/0511076
dc.identifierSIGMA 1 (2005), 014, 9 pages
dc.identifierdoi:10.3842/SIGMA.2005.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159467
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn Chaotic Dynamics in Rational Polygonal Billiards
dc.typetext

Files

Collections

arXiv