Discrete dynamical systems over double cross-product Lie groupoids
Küçük Resim Yok
Tarih
2021-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on the local discrete dynamics of a gauge groupoid. The discrete Elroy's beanie is studied as a physical example.
Açıklama
Anahtar Kelimeler
Discrete dynamics, Lie groupoids, Matched pairs, Double cross product, Lagrangian mechanics, Hopf-Algebras, Euler-Poincare, Bicrossproduct, Reduction, Symmetry
Kaynak
International Journal Of Geometric Methods In Modern Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
18
Sayı
4
Künye
Esen, O. & Sütlü, S. (2021). Discrete dynamical systems over double cross-product Lie groupoids. International Journal Of Geometric Methods In Modern Physics, 18(4). doi:10.1142/S0219887821500572
