Artículo
Lagrangian descriptors for the Bunimovich stadium billiard
Fecha de publicación:
01/2022
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
1539-3755
e-ISSN:
2470-0053
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We apply the concept of Lagrangian descriptors to the dynamics on the Bunimovich stadium billiard, a two-dimensional ergodic system with singular families of trajectories, namely, the bouncing ball and the whispering gallery orbits. They play a central role in structuring the phase space, which is unveiled here by means of the Lagrangian descriptors applied to the associated map on the boundary. More interestingly, we also consider the open stadium, which in the optical case (Fresnel's laws) can be directly related to recent microlaser experiments. We find that the structure of the emission profile of these systems can be easily described thanks to the open version of the Lagrangian descriptors.
Palabras clave:
Lagrangian descriptors
,
Chaotic dynamics
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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Carlo, Gabriel Gustavo; Montes Maldonado, Javier; Borondo Rodriguez, Florentino; Lagrangian descriptors for the Bunimovich stadium billiard; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 105; 1; 1-2022; 142081-142086
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