103 citations · 950 across the 45 of their papers we have counts for
47 papers
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…
Newtonian mechanics in a Riemannian manifold
Miguel-C. Muñoz-Lecanda
The work done by Isaac Newton more than three hundred years ago, continues being a path to increase our knowledge of Nature. To better understand all the ideas behind it, one of th…