Description of singularities for system “billiard in an ellipse”. (English. Russian original) Zbl 1269.37027
Mosc. Univ. Math. Bull. 67, No. 5-6, 217-220 (2012); translation from Vestn. Mosk. Univ., Ser. I 67, No. 5, 31-34 (2012).
Summary: A “billiard in an ellipse” is an integrable system appearing in the description of a point motion inside an ellipse with natural reflections at the boundary. A topological invariant of Liouville equivalence of this system, i.e., the Fomenko-Zieschang molecule, is calculated in the paper by a new method developed by the author.
MSC:
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37E30 | Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces |
| 37D50 | Hyperbolic systems with singularities (billiards, etc.) (MSC2010) |
| 37J15 | Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) |
Keywords:
Liouville foliationReferences:
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