Geodesic
Topological modeling of integrable systems by billiards: realization of numerical invariants
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 9-12

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A local version of A.T. Fomenko's conjecture on modeling of integrable systems by billiards is formulated. It is proved that billiard systems realize arbitrary numerical marks of Fomenko–Zieschang invariants. Thus, numerical marks are not a priori a topological obstacle to the realization of the Liouville foliation of integrable systems by billiards.
Keywords: integrability, Hamiltonian system, CW complex.
Mots-clés : billiard, Fomenko–Zieschang invariant 
V. V. Vedyushkina; V. A. Kibkalo; A. T. Fomenko. Topological modeling of integrable systems by billiards: realization of numerical invariants. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 9-12. http://geodesic.mathdoc.fr/item/DANMA_2020_493_a1/
@article{DANMA_2020_493_a1,
     author = {V. V. Vedyushkina and V. A. Kibkalo and A. T. Fomenko},
     title = {Topological modeling of integrable systems by billiards: realization of numerical invariants},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {9--12},
     year = {2020},
     volume = {493},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_493_a1/}
}
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