𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Discrete Lagrangian Reduction, Discrete Euler–Poincaré Equations, and Semidirect Products

✍ Scribed by Alexander I. Bobenko; Yuri B. Suris

Book ID
110252821
Publisher
Springer
Year
1999
Tongue
English
Weight
169 KB
Volume
49
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Euler–Poincaré Equations and Semidir
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories
✍ Darryl D Holm; Jerrold E Marsden; Tudor S Ratiu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 825 KB

We study Euler Poincare systems (i.e., the Lagrangian analogue of Lie Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler Poincare equations for a parameter dependent Lagrangian by using a variational principle of Lagrange d'Alembert type.