Bertin, M. C. [UNESP]Pimentel, B. M. [UNESP]Valcarcel, C. E. [UNESP]2014-05-202014-05-202008-12-01Annals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 323, n. 12, p. 3137-3149, 2008.0003-4916http://hdl.handle.net/11449/24109In this work we discuss the natural appearance of the Generalized Brackets in systems with non-involutive (equivalent to second class) constraints in the Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of the integrability conditions leads to the reduction of degrees of freedom of these systems and, as consequence, naturally defines a dynamics in a reduced phase space. (c) 2008 Elsevier B.V. All rights reserved.3137-3149engHamilton-Jacobi formalismConstrained systemsGeneralized BracketsArtigo10.1016/j.aop.2008.09.002WOS:000261301300015Acesso restrito