A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients
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Publication:3560993
DOI10.1088/1751-8113/43/17/175205zbMATH Open1273.70024arXiv0912.5296OpenAlexW3100134849MaRDI QIDQ3560993
Author name not available (Why is that?)
Publication date: 17 May 2010
Published in: (Search for Journal in Brave)
Abstract: We present a direct approach to the construction of Lagrangians for a large class of one-dimensional dynamical systems with 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 Lagrangian formulations.
Full work available at URL: https://arxiv.org/abs/0912.5296
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