The Generalized Lagrangian Mechanical Systems
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2019-01-19 11:48
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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.

Dublin Core Export

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<dc:creator>Miron, R.</dc:creator>
<dc:date>2012-07-02</dc:date>
<dc:description xml:lang='en'>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].
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<dc:source>Buletinul Academiei de Ştiinţe a Moldovei. Matematica 69 (2) 74-80</dc:source>
<dc:subject>Generalized Lagrangian system</dc:subject>
<dc:subject>Lagrange equations</dc:subject>
<dc:subject>generalized kinetic energy.</dc:subject>
<dc:title>The Generalized Lagrangian Mechanical Systems</dc:title>
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