Abstract
In this review paper we consider some of the basics of nonholonomic systems, considering in particular how it is possible do derive nonholonomic equations of motion as a limit of a Lagrangian system subject to dissipation. This in then extended to show how dissipation may be induced from a Hamiltonian field with a view to quantization of the system.
Support from NSF grants DMS-0604307 and DMS-0907949 is gratefully acknowledged.
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Bloch, A.M. (2010). Nonholonomic Mechanics, Dissipation and Quantization. In: Lévine, J., Müllhaupt, P. (eds) Advances in the Theory of Control, Signals and Systems with Physical Modeling. Lecture Notes in Control and Information Sciences, vol 407. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16135-3_12
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DOI: https://doi.org/10.1007/978-3-642-16135-3_12
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