A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients

作者:Cieslinski Jan L*; Nikiciuk Tomasz
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(17): 175205.
DOI:10.1088/1751-8113/43/17/175205

摘要

We present a direct approach to the construction of Lagrangians for a large class of one-dimensional dynamical systemswith a simple dependence (monomial or polynomial) on the velocity. We rederive and generalize some recent results and find Lagrangian formulations which seem to be new. Some of the considered systems (e.g. motions with the friction proportional to the velocity and to the square of the velocity) admit infinite families of different explicit Lagrangian formulations.

  • 出版日期2010-4-30