7 citations · 21 across the 9 of their papers we have counts for
9 papers
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
Future Circular Collider Feasibility Study Report: Volume 3, Civil Engineering, Implementation and Sustainability
M. Benedikt, F. Zimmermann, B. Auchmann +1461
Volume 3 of the FCC Feasibility Report presents studies related to civil engineering, the development of a project implementation scenario, and environmental and sustainability asp…
Practical Introduction to Action-Dependent Field Theories
Manuel de León, Jordi Gaset Rifà, Miguel C. Muñoz-Lecanda +2
Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. They model a larger class of field theories, includ…
Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we investigate the reduction process of a contact Lagrangian system whose Lagrangian is invariant under a group of symmetries. We give explicit coordinate expression…
Implicit Contact Dynamics and Hamilton-Jacobi Theory
Oğul Esen, Manuel Lainz Valcázar, Manuel de León +1
In this paper we propose a Hamilton-Jacobi theory for implicit contact Hamiltonian systems in two different ways. One is the understanding of implicit contact Hamiltonian dynamics…
Contact Hamiltonian systems with nonholonomic constraints
Manuel de León, Víctor Manuel Jiménez, Manuel Lainz Valcázar
In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so…