A geometrical approach to the characterization of the sinai billiard
Abstract:
We present a geometrical construction of the map associated to the Sinai billiard in the largest scatterer limit. The main result is validated by checking how consecutive iterations of the map are in agreement with symmetrical reflections on the plane sections of the boundary. Results that can be useful not only in the characterization of the Sinai's billiard but in areas such as Non-Destructive Testing are shown.
Año de publicación:
2010
Keywords:
- Quantum chaos
- Discrete map
- Chaotic system
- Hamiltonian chaos
- Sinai's Billiard
Fuente:
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Tipo de documento:
Article
Estado:
Acceso restringido
Áreas de conocimiento:
- Geometría
- Geometría
- Optimización matemática
Áreas temáticas:
- Matemáticas
- Geometría
- Astronomía y ciencias afines