Necessary and sufficient conditions for the polynomial integrability of generalized Toda chains

zbMath1122.37316MaRDI QIDQ2455184

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 22 October 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemBirkhoff integrable generalized Toda chains

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Rational integrability of trigonometric polynomial potentials on the flat torus

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