Gauge-independent Hamiltonian reduction of constrained systems.
Muslih, S.I. (2002)
Journal of Applied Mathematics
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Muslih, S.I. (2002)
Journal of Applied Mathematics
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Udrişte, Constantin, Teleman, Ana-Maria (2004)
International Journal of Mathematics and Mathematical Sciences
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Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Xavier Gràcia, Josep M. Pons (1996)
Extracta Mathematicae
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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.
Michal Čech, Jana Musilová (2014)
Communications in Mathematics
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In this paper we derive general equations for constraint Noethertype symmetries of a first order non-holonomic mechanical system and the corresponding currents, i.e. functions constant along trajectories of the nonholonomic system. The approach is based on a consistent and effective geometrical theory of nonholonomic constrained systems on fibred manifolds and their jet prolongations, first presented and developed by Olga Rossi. As a representative example of application of the geometrical...