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math-ph2026
Covariant Euler-Poincaré Reduction for Field Theories on Centered Semidirect Products
Miguel Ángel Berbel, Leonardo Colombo, Álvaro Rodríguez Abella
Let be a Lie group equipped with commuting left and right linear representations on a vector space , and let be the associated centered semidirect product. We dev…
math-ph2023★ 2 cited
Implicit Nonholonomic Mechanics with Collisions
Álvaro Rodríguez Abella, Leonardo Colombo
In this paper, variational techniques are used to analyze the dynamics of nonholonomic mechanical systems with impacts. Implicit nonholonomic smooth Lagrangian and Hamiltonian syst…
math-ph2022★ 5 cited
Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups
Álvaro Rodríguez Abella, Melvin Leok
This paper develops the theory of discrete Dirac reduction of discrete Lagrange-Dirac systems with an abelian symmetry group acting on the configuration space. We begin with the li…