The dynamics of Lagrangiens systems with acceleration dependence
Abstract:
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 Caianiello‘s 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
