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:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Geometría
  • Geometría
  • Optimización matemática

Áreas temáticas:

  • Matemáticas
  • Geometría
  • Astronomía y ciencias afines

Contribuidores: