111 citations · 1.1k across the 69 of their papers we have counts for
71 papers
A new perspective on nonholonomic brackets and Hamilton-Jacobi theory
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket on the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
Reduction by symmetries of contact mechanical systems on Lie groups
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León +3
We study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing sy…
Nonholonomic brackets: Eden revisited
Manuel de León, Manuel Lainz, Asier López-Gordón +1
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained submanifold, which is a non-integrable modification of the Poisson bracket of th…
A new canonical affine BRACKET formulation of Hamiltonian Classical Field theories of first order
François Gay-balmaz, Juan C. Marrero, Nicolás Martínez
It has been a long standing question how to extend the canonical Poisson bracket formulation from classical mechanics to classical field theories, in a completely general, intrinsi…
Nonholonomic Newmark method
Alexandre Anahory Simões, Sebastián J. Ferraro, Juan Carlos Marrero +1
Using the nonholonomic exponential map, we generalize the well-known family of Newmark methods for nonholonomic systems. We give numerical examples including a test problem where t…
Contact Dynamics versus Legendrian and Lagrangian Submanifolds
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
We are proposing Tulczyjew's triple for contact dynamics. The most important ingredients of the triple, namely symplectic diffeomorphisms, special symplectic manifolds, and Morse f…