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A note on stability of the vertical uniform rotations of the heavy top

Mathematical Physics 2013-03-15 v1 Dynamical Systems math.MP

Abstract

We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy top.

Keywords

Cite

@article{arxiv.1201.4918,
  title  = {A note on stability of the vertical uniform rotations of the heavy top},
  author = {Dan Comanescu},
  journal= {arXiv preprint arXiv:1201.4918},
  year   = {2013}
}