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KIAM Preprint № 42, Moscow, 1995
Authors: Orlov Y. N., Pavlotskii I.P., Suslin V.M.
The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 3.
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.
Publication language: russian
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Orlov Yurii Nikolaevich, RAS
  • Pavlotskii I.P.
  • Suslin V. M.,  KIAM RAS