42 citations · 43 across the 3 of their papers we have counts for
Showing math.NAShow all
2 papers · 1 filter
math.NA2007
Lagrangian Mechanics and Variational Integrators on Two-Spheres
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
Euler-Lagrange equations and variational integrators are developed for Lagrangian mechanical systems evolving on a product of two-spheres. The geometric structure of a product of t…
math.NA2005★ 42 cited
Discrete Routh Reduction
Sameer M. Jalnapurkar, Melvin Leok, Jerrold E. Marsden +1
This paper develops the theory of abelian Routh reduction for discrete mechanical systems and applies it to the variational integration of mechanical systems with abelian symmetry.…