On the geometry of discrete contact mechanics
A Anahory Simoes, D Martín de Diego… - Journal of Nonlinear …, 2021 - Springer
Journal of Nonlinear Science, 2021•Springer
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.
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.
Abstract
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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