2013/12/05 by Smirnov, Gleb
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1312.1708
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.