arXiv subjects

P. Balseiro

Publications and source records attributed to P. Balseiro.

2 recordsLinked to original sources

arXiv2010

A unified framework for mechanics. Hamilton-Jacobi equation and applications

In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical systems (nonholonomic systems subjected to linear or affine constraints, dissipative systems subjected to external forces, time-dependent mechanical systems...). We recover all these, in principle, different cases using a unified framework based on skew-symmetric algebroids with a distinguished 1-cocycle. Several examples illustrate the theory.

math-ph↗

arXiv2008

The ubiquity of the symplectic hamiltonian equations in mechanics

In this paper, we derive a "hamiltonian formalism" for a wide class of mechanical systems, including classical hamiltonian systems, nonholonomic systems, some classes of servomechanism... This construction strongly relies in the geometry characterizing the different systems. In particular, we obtain that the class of the so-called algebroids covers a great variety of mechanical systems. Finally, as the main result, a hamiltonian symplectic realization of systems defined on algebroids is obtained.

math-ph↗