Metriplectic Euler-Poincaré equations: smooth and discrete dynamics

In this paper we will introduce a discrete version of systems obtained by modifications of the Euler-Poincaré equations when we add a special type of dissipative force, so that the equations of motion can be described using the metriplectic formalism. The metriplectic representation of the dynamics...

Full description

Saved in:
Bibliographic Details
Main Authors: Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:Communications in Analysis and Mechanics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2024040
Tags: Add Tag
No Tags, Be the first to tag this record!