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Constrained Lagrangian dissipative contact dynamics

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arxiv 2109.05295 v2 pith:IDW6FBAE submitted 2021-09-11 math-ph hep-thmath.MP

Constrained Lagrangian dissipative contact dynamics

classification math-ph hep-thmath.MP
keywords dissipativecontactdynamicslagrangianconstrainednonholonomicobtainedordinary
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We show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate choice of one constraint. As a consequence we obtain the dynamics of contact nonholonomic and vakonomic systems as ordinary variational calculus with constraints on a Lagrangian with a dissipative variable. The variation of the energy and the other dissipative quantities are also obtained giving the usual results.

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