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Noetherian symmetries of noncentral forces with drag term

Mathematical Physics 2017-02-01 v1 Classical Analysis and ODEs math.MP Classical Physics

Abstract

We consider the Noetherian symmetries of second-order ODEs subjected to forces with nonzero curl. Both position and velocity dependent forces are considered. In the former case the first integrals are shown to follow from the symmetries of the celebrated Emden-Fowler equation.

Keywords

Cite

@article{arxiv.1608.03222,
  title  = {Noetherian symmetries of noncentral forces with drag term},
  author = {A. Ghose-Choudhury and Partha Guha and Andronikos Paliathanasis and P. G. L. Leach},
  journal= {arXiv preprint arXiv:1608.03222},
  year   = {2017}
}

Comments

15 pages, 3 figures