5 papers · 1 filter
Lagrangian-Hamiltonian formalism for time-dependent dissipative mechanical systems
Xavier Rivas, Daniel Torres
In this paper we present a unified Lagrangian--Hamiltonian geometric formalism to describe time-dependent contact mechanical systems, based on the one first introduced by K. Kamimu…
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…
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equa…
A contact geometry framework for field theories with dissipation
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of -contact structure and -conta…
Constraint algorithm for singular field theories in the -cosymplectic framework
Xavier Gràcia, Xavier Rivas, Narciso Román-Roy
The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of -cosymplectic geometry. Since these field theories are singu…