5 papers
The nonholonomic bracket on contact mechanical systems
Manuel De León, Víctor M. Jiménez
In this paper we study contact nonholonomic mechanical sys\-tems. We construct a general framework for non-holonomic constraints in contact geometry and, in this framework, we defi…
On Non-autonomous Hamiltonian Dynamics, Dual Spaces, and Kinetic Lifts
Begüm Ateşli, Oğul Esen, Manuel de León +1
Vlasov kinetic theory is the dynamics of a bunch of particles flowing according to symplectic Hamiltonian dynamics. More recently, this geometry has been extended to contact Hamilt…
Contact formalism for dissipative mechanical systems on Lie algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on Lie algebroids in the framework of contact geometry, using the theory of prolon…
A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems
Manuel de León, Rubén Izquierdo-López
In this paper we study the coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of the coisotropic reducti…
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…