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KIAM Preprint  39, Moscow, 1994
Authors: Orlov Y. N., Pavlotskii I.P., Suslin V.M.
The dynamics of Lagrangiens systems with acceleration dependence
The classical and relativistic one-particle Lagrangiens depend on position and velocity of this particle only. In the publication of the last years were proposed more general forms of Lagrangiens with acceleration-dependence. For example the Caianiellos Lagrangian is deducted from supposition that the acceleration is limited as well as velocity such Lagrangiens lead to the Euler-Lagrange equation 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 motion in the external electric and magnetic field.
Publication language: russian,  pages: 15
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Orlov Yurii Nikolaevich, RAS
  • Pavlotskii Igor Pavlovich,  KIAM RAS
  • Suslin V. M.,  KIAM RAS