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A unified framework for mechanics. Hamilton-Jacobi equation and applications (1001.0482v1)
Published 4 Jan 2010 in math-ph and math.MP
Abstract: 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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