65 citations · 261 across the 23 of their papers we have counts for
9 papers · 1 filter
Symmetries, conservation and dissipation in time-dependent contact systems
Jordi Gaset, Asier López-Gordón, Xavier Rivas
In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this paper, we prove a Noether's theorem f…
The Herglotz variational principle for dissipative field theories
Jordi Gaset, Manuel Lainz, Arnau Mas +1
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other area…
Nonautonomous k-contact field theories
Xavier Rivas
This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space-time coordinates by combining the k-cosymplectic and…
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…
Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
Manuel de León, Manuel Lainz, Asier López-Gordón +1
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton--Jacobi theory for these s…
Contact Lie systems
Javier de Lucas, Xavier Rivas
We define and analyse the properties of contact Lie systems, namely systems of first-order differential equations describing the integral curves of a -dependent vector field tak…