3 papers
math-ph2021
The Hamilton--Jacobi theory for contact Hamiltonian systems
Manuel de León, Manuel Laínz, Álvaro Muñiz--Brea
The aim of this paper is to develop a Hamilton--Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton-Jacobi equation accordingly to the Hami…
math-ph2020
Higher-order contact mechanics
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the…
math-ph2020
Unified Lagrangian-Hamiltonian formalism for contact systems
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of t…