103 citations · 950 across the 45 of their papers we have counts for
34 papers · 1 filter
Geometry of Mechanics
Miguel C. Muñoz-Lecanda, Narciso Román-Roy
The aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; a…
Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures
José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda
A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tange…
Multicontact formulation for non-conservative field theories
Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda +2
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional…
Time-dependent contact mechanics
Manuel de León, Jordi Gaset, Xavier Gràcia +2
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact sys…
Infinitesimal time reparametrisation and its applications
José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda
A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geo…
Constrained Lagrangian dissipative contact dynamics
Manuel de León, Manuel Laínz, Miguel C. Muñoz-Lecanda +1
We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending…