Recursive properties of Dirac and Metriplectic Dirac brackets with Applications

Abstract

In this article, we prove that Dirac brackets for Hamiltonian and non-Hamiltonian constrained systems can be derived recursively. We then study the applicability of that formulation in analysis of some interesting physical models. Particular attention is paid to feasibility of implementation code for Dirac brackets in Computer Algebra System and analytical techniques for inversion of triangular matrices.

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Cite this paper

@inproceedings{Nguyen2009RecursivePO, title={Recursive properties of Dirac and Metriplectic Dirac brackets with Applications}, author={Sonnet Hung Q. Nguyen and Lukasz A. Turski}, year={2009} }