The Generalized Lagrangian Mechanical Systems
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MIRON, Radu. The Generalized Lagrangian Mechanical Systems. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2012, nr. 2(69), pp. 74-80. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Moldovei. Matematica
Numărul 2(69) / 2012 / ISSN 1024-7696

The Generalized Lagrangian Mechanical Systems

Pag. 74-80

Miron Radu
 
„Alexandru Ioan Cuza” University, Iasi
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

A generalized Lagrangian mechanics is a triple ΣGL=(M,E,Fe) formed by a real n-dimensional manifold M, the generalized kinetic energy E and the external forces Fe. The Lagrange equations (or fundamental equations) can be defined for a generalized Lagrangian mechanical system ΣGL. We get a straightforward extension of the notions of Riemannian, or Finslerian, or Lagrangian mechanical systems studied in the recent book [7]. The applications of this systems in Mechanics, Physical Fields or Relativistic Optics are pointed out. Much more information can be found in the books or papers from References [1–10].

Cuvinte-cheie
Generalized Lagrangian system, Lagrange equations, generalized kinetic energy.

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