On the classical dynamics of billiards on the sphere

被引：5
|
作者：
Spina, ME [1 ]
Saraceno, M [1 ]
机构：
[1] Comis Nacl Energia Atom, Dept Phys, RA-1429 Buenos Aires, DF, Argentina
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 44期
关键词：
D O I：
10.1088/0305-4470/32/44/315
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the classical motion in bidimensional polygonal billiards on the sphere. In particular we investigate the dynamics in tiling and generic rational and irrational equilateral triangles. Unlike the plane or the negative curvature cases we obtain a complex but regular dynamics.
引用
收藏
页码：7803 / 7813
页数：11
相关论文
共 50 条
  • [41] DYNAMICS OF A CLASSICAL HARD-SPHERE GAS .2. NUMERICAL RESULTS
    LEUTHEUSSER, E
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (13): : 2827 - 2843
  • [42] DYNAMICS OF A CLASSICAL HARD-SPHERE GAS .1. FORMAL THEORY
    LEUTHEUSSER, E
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (13): : 2801 - 2826
  • [43] Evolution of classical projected phase space density in billiards
    Biswas, D
    PRAMANA-JOURNAL OF PHYSICS, 2005, 64 (04): : 563 - 575
  • [44] Classical Integrable Systems and Billiards Related to Generalized Jacobians
    Yu. Fedorov
    Acta Applicandae Mathematica, 1999, 55 : 251 - 301
  • [45] A geometrical approach to wave dynamics in billiards
    Mortessagne, F
    Legrand, O
    Sornette, D
    EUROPHYSICS LETTERS, 1996, 33 (06): : 417 - 422
  • [46] Dynamics in carom and three cushion billiards
    Han, I
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2005, 19 (04) : 976 - 984
  • [47] On Chaotic Dynamics in Rational Polygonal Billiards
    Kokshenev, Valery B.
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2005, 1
  • [48] Chaotic dynamics in refraction galactic billiards
    Barutello, Vivina L.
    De Blasi, Irene
    Terracini, Susanna
    NONLINEARITY, 2023, 36 (08) : 4209 - 4246
  • [49] DUAL POLYGONAL BILLIARDS AND NECKLACE DYNAMICS
    GUTKIN, E
    SIMANYI, N
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 143 (03) : 431 - 449
  • [50] Quantum dynamics in a kicked square billiards
    Rakhmanov, S.
    Babajanov, D.
    Karpova, O.
    Khoshimova, F.
    NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS, 2015, 6 (02): : 216 - 223
12345