98 citations · 281 across the 10 of their papers we have counts for
13 papers
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…
The Herglotz principle and vakonomic dynamics
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones…
The geometry of some thermodynamic systems
Alexandre Anahory Simoes, David Martín de Diego, Manuel Lainz Valcázar +1
In this article, we continue the program started in our previous article of exploring an important class of thermodynamic systems from a geometric point of view. In order to model…
A review on contact Hamiltonian and Lagrangian systems
Manuel de León, Manuel Lainz
Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry…
Higher-order contact mechanics
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the…
Unified Lagrangian-Hamiltonian formalism for contact systems
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of t…