Focus-focus singularities in classical mechanics
Dynamical Systems
2014-03-25 v2
Abstract
In this paper the local singularities of integrable Hamiltonian systems with two degrees of freedom are studied. The topological obstruction to the existence of focus-focus singularity with given complexity was found. It has been showed that only simple focus-focus singularities can appear in a typical mechanical system. The model examples of mechanical systems with complex focus-focus singularity are given.
Cite
@article{arxiv.1312.1708,
title = {Focus-focus singularities in classical mechanics},
author = {Gleb Smirnov},
journal= {arXiv preprint arXiv:1312.1708},
year = {2014}
}