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Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
de León, Manuel; Lainz, Manuel; López-Gordón, Asier; Rivas, Xavier (Journal of Geometry and Physics, 2023)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 systems following two approaches, obtaining ... -
Symmetries, Conservation and Dissipation in Time-Dependent Contact Systems
Gaset, Jordi; López-Gordón, Asier; Rivas, Xavier (Fortschritte der Physik, 2023)In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non-autonomous contact Hamiltonian systems is ...