Recursive properties of Dirac and metriplectic Dirac brackets with applications

Sonnet Hung Q. Nguyen and Łukasz A. Turski

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 2, 91-103

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 the feasibility of implementation code for Dirac brackets in Computer Algebra System.

Keywords: Constrained dynamical systems; Dirac bracket; Constrained Hamiltonian dynamics; Non-Hamiltonian dynamics; Dissipative dynamics; Metriplectic; Poisson structure; Dirac submanifold; Symplectic integration; Tridiagonal matrices; Mathematica (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:2:p:91-103

DOI: 10.1016/j.physa.2008.09.026

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