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Arnold, V.I. (1989) Mathematical Methods of Classical Mechanics. Springer-Verlag, Berlin.
https://doi.org/10.1007/978-1-4757-2063-1

has been cited by the following article:

• TITLE: One Dimensional Conservative System with Quadratic Dissipation and Position Depending Mass

  AUTHORS: Gustavo V. López, Erick S. Madrigal

  KEYWORDS: Dissipation, Position Mass Depending, Constant of Motion, Hamiltonian

  JOURNAL NAME: Journal of Modern Physics, Vol.13 No.2, February 14, 2022

  ABSTRACT: Forl a 1-D conservative system with a position depending mass within a dissipative medium, its effect on the body is to exert a force depending on the squared of its velocity, a constant of motion, Lagrangian, generalized linear momentum, and Hamiltonian are obtained. We apply these new results to the harmonic oscillator and pendulum under the characteristics mentioned about, obtaining their constant of motion, Lagrangian and Hamiltonian for the case when the body is increasing its mass.