Integrals polynomial in velocity for two-degrees-of-freedom dynamical systems whose configuration space is a torus

DOI10.1007/BF02307193zbMath0939.37031WikidataQ114395628 ScholiaQ114395628MaRDI QIDQ1282506

N. V. Denisova

Publication date: 20 June 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

integrabilitygeodesic flowHamiltonian systemtwo-dimensional toruspolynomial integrals

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) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• Supramenability and the problem of occurrence of free semigroups
• On complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral
• POLYNOMIAL INTEGRALS OF GEODESIC FLOWS ON A TWO-DIMENSIONAL TORUS
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