Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, cilt.7, sa.2, ss.421-436, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 2
- Basım Tarihi: 2008
- Doi Numarası: 10.1137/060654189
- Dergi Adı: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.421-436
- Anahtar Kelimeler: chaos, billiards, dissipative, friction, BALL
- Anadolu Üniversitesi Adresli: Evet
Özet
We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean or hyperbolic n-space, and we prove that there exist trajectories visiting the obstacles in any given doubly infinite prescribed order ( with the obvious restriction of no consecutive repetition). As an interesting variant of planar billiards, we consider spinning obstacles and particles and prove that any forward sequence of obstacles has a trajectory that follows it.