학술논문

The nonholonomic bracket on contact mechanical systems
Document Type
Working Paper
Source
Subject
Mathematics - Differential Geometry
37J55, 53D10, 37J60, 70F25, 70G45, 53Z05
Language
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.