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arXiv · 2003.11892

On the geometry of discrete contact mechanics

Alexandre Anahory Simoes·David Martín de Diego·Manuel de León·Manuel Lainz Valcázar
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Abstract

In this paper, we continue the construction of variational integrators adapted to contact geometry started in \cite{VBS}, in particular, we introduce a discrete Herglotz Principle and the corresponding discrete Herglotz Equations for a discrete Lagrangian in the contact setting. This allows us to develop convenient numerical integrators for contact Lagrangian systems that are conformally contact by construction. The existence of an exact Lagrangian function is also discussed.

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Alexandre Anahory Simoes, David Martín de Diego, Manuel de León, Manuel Lainz Valcázar. 2020-03-26. On the geometry of discrete contact mechanics. https://doi.org/10.1007/s00332-021-09708-2

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