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. © 2008 Elsevier B.V. All rights reserved.

Nguyen S.H.Q., Turski L.A.

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Từ khóa : Algebra; Dynamical systems; Dynamics; Fasteners; Hamiltonians; Meats; Models; Recursive functions; Schrodinger equation; Constrained dynamical systems; Constrained Hamiltonian dynamics; Dirac bracket; Dirac submanifold; Dissipative dynamics; Mathematica; Metriplectic; Non-Hamiltonian dynamics; Poisson structure; Symplectic integration; Tridiagonal matrices; Sound reproduction