65 citations · 261 across the 23 of their papers we have counts for
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math-ph2019★ 65 cited
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equa…
math-ph2019★ 48 cited
A contact geometry framework for field theories with dissipation
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of -contact structure and -conta…