On the Geometry of Discrete Contact Mechanics

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On the Geometry of Discrete Contact Mechanics

Anahory Simoes, Alexandre; Martín de Diego, David; Lainz Valcázar, Manuel; de León, Manuel

Journal of nonlinear science, 06/2021, Volume: 31, Issue: 3

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In this paper, we continue the construction of variational integrators adapted to contact geometry started in Vermeeren et al. (J Phys A 52(44):445206, 2019), 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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Anahory Simoes, Alexandre | Martín de Diego, David | Lainz Valcázar, Manuel | de León, Manuel

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