16 citations · 18 across the 2 of their papers we have counts for
3 papers
math-ph2020★ 16 cited
A review on contact Hamiltonian and Lagrangian systems
Manuel de León, Manuel Lainz
Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry…
math.OC2020★ 2 cited
Optimal control, contact dynamics and Herglotz variational problem
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin Maximum Principle. As an important result, among others…
math-ph2019
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…