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math-ph2021★ 7 cited
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…
math-ph2021
The Herglotz principle and vakonomic dynamics
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones…