Seminario Geometría, Mecánica y Control
Geometric integration for double-bracket dissipation and metriplectic systems
Ponente: David Martín de Diego (ICMAT-CSIC)Fecha: jueves 23 de abril de 2026 - 12:00Lugar: Aula Gris 3, ICMAT
Online: Zoom. ID: 810 9248 3225, código de acceso: 183643
Resumen:
In this talk, we will introduce geometric integration methods for modified Euler–Poincaré equations that include a special type of dissipative force.
The first case concerns mechanical systems with double-bracket dissipation. In particular, we will consider forced Euler–Poincaré and forced Lie–Poisson systems. The case of interest for us is when the coadjoint orbits remain invariant while the energy decreases along the orbit.
The second case addresses systems whose equations of motion can be described using a metriplectic formalism. This metriplectic representation of the dynamics allows us to describe the conservation of energy while guaranteeing entropy production. We will discuss different strategies for deriving geometric integrators that preserve the geometric properties of both types of systems.
