Recursive properties of Dirac and metriplectic Dirac brackets with applications

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.

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Year of publication:	2009
Authors:	Nguyen, Sonnet Hung Q. ; Turski, Łukasz A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 388.2009, 2, p. 91-103
Publisher:	Elsevier
Subject:	Constrained dynamical systems \| Dirac bracket \| Constrained Hamiltonian dynamics \| Non-Hamiltonian dynamics \| Dissipative dynamics \| Metriplectic \| Poisson structure \| Dirac submanifold \| Symplectic integration \| Tridiagonal matrices \| Mathematica

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011062132