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- W4294192128 abstract "A solution for the Weinstein's Problem in the general framework of generalized Lie algebroids is the target of this paper. We present the mechanical systems called by use, mechanical (?; ?)-systems, Lagrange mechanical (?; ?)-systems or Finsler mechanical (?; ?)-systems and we develop their geometries. We obtain the canonical (?; ?)-semi(spray) associated to a mechanical (?; ?)-system. The Lagrange mechanical (?; ?)-systems are the spaces necessary to develop a Lagrangian formalism. We obtain the (?; ?)-semispray associated to a regular Lagrangian L and external force Fe and we derive the equations of Euler-Lagrange type. A new point of view over classical and modern results about Lagrangian Mechanics are presented." @default.
- W4294192128 created "2022-09-02" @default.
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- W4294192128 date "2011-08-14" @default.
- W4294192128 modified "2023-10-18" @default.
- W4294192128 title "Lagrangian Mechanics on Generalized Lie Algebroids" @default.
- W4294192128 doi "https://doi.org/10.48550/arxiv.1108.2844" @default.
- W4294192128 hasPublicationYear "2011" @default.
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