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

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

2010-01-04

arxiv.org/abs/1001.0482v1

Physics

Mathematical Physics

30 pages, 3 figures

Scientific paper

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.

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