• 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 ...
    • Meromorphic first integrals of analytic diffeomorphisms 

      Ferragut, Antoni; Gasull, Armengol; Zhang, Xiang (Journal of Mathematical Analysis and Applications, 2023)
      We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map f can have in a neighborhood of one of its fixed points. This bound ...