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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…
math-ph2020
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,…