𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Three and four-body systems in one dimension: Integrability, superintegrability and discrete symmetries

✍ Scribed by Claudia Chanu; Luca Degiovanni; Giovanni Rastelli


Book ID
111469599
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
814 KB
Volume
16
Category
Article
ISSN
1560-3547

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Chaotic transfers in three- and four-bod
✍ Marian Gidea; Melissa Burgos πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 366 KB

We report on some numerical investigations on the chaotic behavior of certain spatial threeand four-body systems, subject to Newtonian gravitation. These conΓΏgurations exhibit a new type of dynamics, mixing characteristics of the planar three-body problem and of the oscillatory motion introduced by

k-integrals and k-Lie symmetries in disc
✍ F.A. Haggar; G.B. Byrnes; G.R.W. Quispel; H.W. Capel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 572 KB

We generalize the concept of symplectic maps to that of k-symplectic maps: maps whose kth iterates are symplectic. Similarly, k-symmetries and k-integrals are symmetries (resp. integrals) of the kth iterate of the map. It is shown that k-symmetries and k-integrals are related by the k-symplectic str