We introduce a geometrical framework for the description of constrained mechanical systems, and we analyse different kinds of symmetries and their relationships. We propose a new definition for non-holonomic Lagrangian mechanical systems, and we give a geometrical characterization for the Helmholtz conditions related to the inverse problem.
A geometric approach to constrained mechanical systems, symmetries and inverse problems / P. Morando, S. Vignolo. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 31:40(1998), pp. 8233-8245. [10.1088/0305-4470/31/40/015]
A geometric approach to constrained mechanical systems, symmetries and inverse problems
P. MorandoPrimo
;
1998
Abstract
We introduce a geometrical framework for the description of constrained mechanical systems, and we analyse different kinds of symmetries and their relationships. We propose a new definition for non-holonomic Lagrangian mechanical systems, and we give a geometrical characterization for the Helmholtz conditions related to the inverse problem.
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