4 papers · 1 filter
Contact bundle formulation of nonholonomic Maupertuis-Jacobi principle and a length minimizing property of nonholonomic dynamics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego
We prove a nonholonomic version of the classical Mauper\-tuis-Jacobi principle which transforms an autonomous mechanical nonholonomic problem, determined by a kinetic minus potenti…
The geometry of some thermodynamic systems
Alexandre Anahory Simoes, David Martín de Diego, Manuel Lainz Valcázar +1
In this article, we continue the program started in our previous article of exploring an important class of thermodynamic systems from a geometric point of view. In order to model…
Contact geometry for simple thermodynamical systems with friction
Alexandre Anahory Simoes, Manuel de León, Manuel Lainz Valcázar +1
Using contact geometry we give a new characterization of a simple but important class of thermodynamical systems which naturally satisfy the first law of thermodynamics (total ener…
Exact discrete Lagrangian mechanics for nonholonomic mechanics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
We construct the exponential map associated to a nonholonomic system that allows us to define an exact discrete nonholonomic constraint submanifold. We reproduce the continuous non…