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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 74–80
(Mi basm312)
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The generalized Lagrangian mechanical systems
Radu Miron "Al. Ioan Cuza" University, Iaşi, România
Abstract:
A generalized Lagrangian mechanics is a triple $\Sigma_{GL}=(M,\mathcal E,F_e)$ formed by a real $n$-dimensional manifold $M$, the generalized kinetic energy $\mathcal E$ and the external forces $F_e$. The Lagrange equations (or fundamental equations) can be defined for a generalized Lagrangian mechanical system $\Sigma_{GL}$. 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].
Keywords and phrases:
generalized Lagrangian system, Lagrange equations, generalized kinetic energy.
Received: 25.08.2012
Citation:
Radu Miron, “The generalized Lagrangian mechanical systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2, 74–80
Linking options:
https://www.mathnet.ru/eng/basm312 https://www.mathnet.ru/eng/basm/y2012/i2/p74
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Abstract page: | 365 | Full-text PDF : | 47 | References: | 28 | First page: | 1 |
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