Variational order for forced Lagrangian systems II. Euler-Poincare equations with forcing

Martin De Diego D, Sato Martin de Almagro R (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 33

Pages Range: 3709-3738

Journal Issue: 8

DOI: 10.1088/1361-6544/ab8bb1

Abstract

In this paper we provide a variational derivation of the Euler-Poincare equations for systems subjected to external forces using an adaptation of the techniques introduced by Galley and others Martin de Diego and Martin de Almagro (2018Nonlinearity313814-3846), Galley (2013Phys. Rev. Lett.110174301), Galleyet al(2014 (arXiv:). Moreover, we study in detail the underlying geometry which is related to the notion of Poisson groupoid. Finally, we apply the previous construction to the formal derivation of the variational error for numerical integrators of forced Euler-Poincare equations and the application of this theory to the derivation of geometric integrators for forced systems.

Authors with CRIS profile

Rodrigo Sato Martin de Almagro Institute of Applied Dynamics

Involved external institutions

Instituto de Ciencias Matemáticas (ICMAT) / Institute of Mathematical Sciences ES Spain (ES)

How to cite

APA:

Martin De Diego, D., & Sato Martin de Almagro, R. (2020). Variational order for forced Lagrangian systems II. Euler-Poincare equations with forcing. Nonlinearity, 33(8), 3709-3738. https://dx.doi.org/10.1088/1361-6544/ab8bb1

MLA:

Martin De Diego, D., and Rodrigo Sato Martin de Almagro. "Variational order for forced Lagrangian systems II. Euler-Poincare equations with forcing." Nonlinearity 33.8 (2020): 3709-3738.

BibTeX: Download