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Preprints of the Keldysh Institute of Applied Mathematics, 1995, 042
(Mi ipmp1658)
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The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 3
Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin
Abstract:
The classical and relativistic one-particle Lagrangiens depend on position and velocity of this particle only. In the publications of the last years were proposed more general forms of Lagrangiens with acceleration-dependence. Such Lagrangiens lead to the Euler-Lagrange equations of motion which have a form of complex non-linear equation of a singular type because a small parameter is a multiplier in front of the highest derivative. In the present publication we study the solutions corresponding to a free motion, and a motion in the external field with the oscillator potential.
Citation:
Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 3”, Keldysh Institute preprints, 1995, 042
Linking options:
https://www.mathnet.ru/eng/ipmp1658 https://www.mathnet.ru/eng/ipmp/y1995/p42
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Statistics & downloads: |
Abstract page: | 96 | Full-text PDF : | 14 |
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