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- W2146394119 abstract "Abstract A class of discrete dynamical systems called projectively (or geodesically) equivalent Lagrangian systems is defined. We prove that these systems admit families of integrals. In the case of geodesically equivalent billiard tables, these integrals are pairwise commuting. We describe a family of geodesically equivalent billiard tables on surfaces of constant curvature. This is a special case of the so-called ‘Liouville billiard tables’." @default.
- W2146394119 created "2016-06-24" @default.
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- W2146394119 date "2008-10-01" @default.
- W2146394119 modified "2023-09-30" @default.
- W2146394119 title "Discrete analog of the projective equivalence and integrable billiard tables" @default.
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- W2146394119 doi "https://doi.org/10.1017/s014338570700096x" @default.
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