A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints”
A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
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Dragt, Alex J. (1997)
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Chavchanidze, G. (2003)
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E. Zenhder (1975)
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Generalized Hamiltonian dynamics after Dirac and Tulczyjew
Fiorella Barone, Renato Grassini (2003)
Banach Center Publications
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Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation-unlike Tulczyjew's-fails to give a complete picture of the real laws of classical and relativistic dynamics.
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Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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On D’Alembert’s Principle
Larry M. Bates, James M. Nester (2011)
Communications in Mathematics
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A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.