16 citations · 96 across the 12 of their papers we have counts for
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math-ph2022★ 10 cited
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…
math-ph2022★ 15 cited
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…