In this paper, we survey our recent results on the variational formulation of nonequilibrium
thermodynamics for the finite-dimensional case of discrete systems, as well as for the infinite …

In this paper, we present a Lagrangian variational formulation for nonequilibrium
thermodynamics. This formulation is an extension of Hamilton's principle of classical …

A nonholonomic system, for short “NH,” consists of a configuration space Q n, a Lagrangian
L (q, ̇ q, t), a nonintegrable constraint distribution H ⊂ TQ, with dynamics governed by …

The d'Alembert–Lagrange principle (DLP) is designed primarily for dynamical systems
under ideal geometric constraints. Although it can also cover linear-velocity constraints, its …

The aim of this paper is to present a short historical/scientific review on nonholonomic
mechanics, with special emphasis on the latest developments. Indeed, the use of differential …

Virtual constraints are relations imposed on a control system that become invariant via
feedback control, as opposed to physical constraints acting on the system. Nonholonomic …

We propose a variational formulation for the nonequilibrium thermodynamics of discrete
open systems, ie, discrete systems which can exchange mass and heat with the exterior. Our …

In this article, we continue the program started in of exploring an important class of
thermodynamic systems from a geometric point of view. The contents of this paper and the …

Dirac structures are geometric objects that generalize both Poisson structures and
presymplectic structures on manifolds. They naturally appear in the formulation of …

In this paper, we propose a geometric integrator for nonholonomic mechanical systems. It
can be applied to discrete Lagrangian systems specified through a discrete Lagrangian …