In this paper the local singularities of integrable Hamiltonian systems with two degrees of freedom are studied. The topological obstruction to the existence of a focus-focus singularity with given complexity is found. It is shown that only simple focus-focus singularities can appear in a typical mechanical system. Model examples of mechanical systems with complicated focusfocus singularity are given.
Keywords:
integrable hamiltonian systems, focus-focus singularities, obstruction to the existence of singularities
Citation:
Smirnov G. E., Focus-focus singularities in classical mechanics, Rus. J. Nonlin. Dyn.,
2014, Vol. 10, No. 1,
pp. 101-112
DOI:10.20537/nd1401007