This article is cited in 1 scientific paper (total in 1 paper)
Focus-focus singularities in classical mechanics
Gleb E. Smirnov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Leninskye gori 1, GSP-1, Moscow, 119991, Russia
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 focus-focus singularity are given.
integrable hamiltonian systems, focus-focus singularities, obstruction to the existence of singularities.
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Gleb E. Smirnov, “Focus-focus singularities in classical mechanics”, Nelin. Dinam., 10:1 (2014), 101–112
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\paper Focus-focus singularities in classical mechanics
\jour Nelin. Dinam.
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