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arXiv · 2312.15044

The nonholonomic bracket on contact mechanical systems

Manuel De León·Víctor M. Jiménez
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Abstract

In this paper we study contact nonholonomic mechanical sys\-tems. We construct a general framework for non-holonomic constraints in contact geometry and, in this framework, we define different nonholonomic brackets using con\-venient \linebreak decompositions of the tangent bundle of the phase space. \linebreak Furthermore, we prove that all of them coincide. In particular, one the brackets is a natural extension of that defined by R.J. Eden, but now it is an almost Jacobi bracket since it is not satisfy the Leibniz rule.

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Manuel De León, Víctor M. Jiménez. 2023-12-22. The nonholonomic bracket on contact mechanical systems. https://arxiv.org/abs/2312.15044

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