Discrete Variational Principles for Lagrangians Linear in Velocities

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Abstract

The discrete Hamiltonian formulation of Lagrangian linear in velocities is investigated and the equivalence of Hamilton and Euler-Lagrange equations is obtained. The role of Lagrange multipliers is discussed within discrete Lagrangian and Hamiltonian formulations for some systems with constraints. Three illustrative examples are investigated in details.

Description

Jarad, Fahd/0000-0002-3303-0623

Keywords

Discrete Variational Principles, Euler-Lagrange Equations, Hamilton Equations, Lagrange Multipliers

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Jarad, F., Beleanu, D. (2007). Discrete variational principles for Lagrangians linear in velocities. Reports On Mathematical Physics, 59(1), 33-43. http://dx.doi.org/10.1016/S0034-4877(07)80002-4

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5

Volume

59

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1

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33

End Page

43
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5

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6

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5

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