Leninskye gori 1, GSP-1, Moscow, 119991, Russia
Lomonosov Moscow State University
Smirnov G. E.
Focus-focus singularities in classical mechanics
2014, Vol. 10, No. 1, pp. 101-112
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.