2 citations · 2 across the 7 of their papers we have counts for
7 papers
Discrete variational calculus for double-bracket dissipation
Anthony Bloch, Sebastián J. Ferraro, David Martín de Diego +1
Discrete variational methods show excellent performance in numerical simulations of mechanical systems. In this paper, we adapt discrete variational integrators for the case of mec…
Structure-Preserving Learning of Nonholonomic Dynamics
Thomas Beckers, Anthony Bloch, Leonardo Colombo
Data-driven modeling is playing an increasing role in robotics and control, yet standard learning methods typically ignore the geometric structure of nonholonomic systems. As a con…
Interdisciplinary Workshop on Mechanical Intelligence: Summary Report
Victoria A. Webster-Wood, Nicholas Gravish, Amir Alavi +37
This report provides a summary of the outcomes of the Interdisciplinary Workshop on Mechanical Intelligence held in 2024. Mechanical Intelligence (MI) represents the phenomenon tha…
Nonholonomic constraints at finite temperature
Eduardo A. Jagla, Anthony M. Bloch, Alberto G. Rojo
We investigate the behavior of dynamical systems with nonholonomic constraints when coupled to a thermal bath, focusing on the paradigmatic case of the Chaplygin sleigh. A straight…
Slow dispersion in Floquet-Dirac Hamiltonians
Anthony Bloch, Amir Sagiv, Stefan Steinerberger
We study dispersive decay for non-autonomous Hamiltonian systems. While the general theory for dispersion in such non-autonomous systems is largely open, it was shown \cite{kraisle…
Metriplectic Euler-Poincaré equations: smooth and discrete dynamics
Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego
In this paper we will study some interesting properties of modifications of the Euler-Poincaré equations when we add a special type of dissipative force, so that the equations of m…
Completeness of Riemannian metrics: an application to the control of constrained mechanical systems
José Ángel Acosta, Anthony Bloch, David Martín de Diego
We introduce a mathematical technique based on modifying a given Riemannian metric and we investigate its applicability to controlling and stabilizing constrained mechanical system…