English

Jacobi fields of completely integrable Hamiltonian systems

Mathematical Physics 2009-11-07 v1 Dynamical Systems math.MP

Abstract

We show that Jacobi fields of a completely integrable Hamiltonian system of m degrees of freedom also make up a completely integrable system. They provide m additional first integrals which characterize a relative motion.

Keywords

Cite

@article{arxiv.math-ph/0205026,
  title  = {Jacobi fields of completely integrable Hamiltonian systems},
  author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
  journal= {arXiv preprint arXiv:math-ph/0205026},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-07-22T16:21:32.972Z