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math.DS2013
Focus-focus singularities in classical mechanics
Gleb Smirnov
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 singula…
nlin.SI2013
The atlas of the diagrams for the generalization of the 4th Appelrot class of especially remarkable motions to a gyrostat in a double force field
Pavel E. Ryabov, Gleb E. Smirnov, Mikhail P. Kharlamov
For the system with two degrees of freedom, which is an analogue of the 4th Appelrot class for a gyrostat of the Kowalevski type in a double force field the problem of the classifi…