114 citations · 578 across the 31 of their papers we have counts for
3 papers · 1 filter
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…
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…
A -contact Lagrangian formulation for nonconservative field theories
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We present a geometric Lagrangian formulation for first-order field theories with dissipation. This formulation is based on the -contact geometry introduced in a previous paper,…