Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Serbian Society of Mechanics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian function. As the trivializations we adapted respect the group structures of the iterated bundles, we exploit all possible subgroup reductions (Poisson, symplectic or both) of higher order dynamics.
Açıklama
Anahtar Kelimeler
Euler—Poincaré equations, Higher order dynamics on Lie groups, Lie—Poisson equations, Lagrangian, Multi-symplectic, Nonholonomic systems
Kaynak
Theoretical and Applied Mechanics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
48
Sayı
2
Künye
Esen, O., Gümral, H. & Sütlü, S. (2021). Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles. Theoretical and Applied Mechanics, 48(2), 201-236. doi:10.2298/TAM210312009E
