Dynamical systems and Lagrangian spaces.
Obădeanu, V., Albu, I.D. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Obădeanu, V., Albu, I.D. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Creţu, Ciprian (1997)
General Mathematics
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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.
Bebu, I., Ureche, G. (2001)
APPS. Applied Sciences
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Udrişte, C., Postolache, M., Ţevy, I. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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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...