This article is cited in 2 scientific papers (total in 2 papers)
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.
PDF file (365 kB)
Gleb E. Smirnov, “Focus-focus singularities in classical mechanics”, Nelin. Dinam., 10:1 (2014), 101–112
Citation in format AMSBIB
\paper Focus-focus singularities in classical mechanics
\jour Nelin. Dinam.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
A. V. Bolsinov, “Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko-Fomenko conjecture”, Theor. Appl. Mech., 43:2 (2016), 145–168
D. Sepe, San Vu Ngoc, “Integrable systems, symmetries, and quantization”, Lett. Math. Phys., 108:3, SI (2018), 499–571
|Number of views:|