Classification of symmetries for higher order Lagrangian systems.
Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
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Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
Similarity:
Manuel de León, David Martín de Diego (1994)
Extracta Mathematicae
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Manuel de León, David Martín de Diego (1996)
Extracta Mathematicae
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Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
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...
Wiktor Szczyrba (1976)
Annales Polonici Mathematici
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Monika Havelková (2012)
Communications in Mathematics
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Dynamical properties of singular Lagrangian systems differ from those of classical Lagrangians of the form . Even less is known about symmetries and conservation laws of such Lagrangians and of their corresponding actions. In this article we study symmetries and conservation laws of a concrete singular Lagrangian system interesting in physics. We solve the problem of determining all point symmetries of the Lagrangian and of its Euler-Lagrange form, i.e. of the action. It is known that...