The Arnol′d formula for algebraically completely integrable systems

DOI10.1090/S0273-0979-1987-15568-6zbMath0668.58020MaRDI QIDQ3821316

Jean-Pierre Françoise

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

monodromyalgebraically completely integrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Singularities of curves, local rings (14H20)

Related Items

On geometric phases for soliton equations, On the structure of Picard–Fuchs type equations for Liouville–Arnold integrable Hamiltonian system on cotangent phase spaces, On algebraic-analytic aspects of the abelian Liouville-Arnold integrability by quadratures of Hamiltonian systems on cotangent spaces, The Stäckel systems and algebraic curves, Homogeneous Stäckel-type systems

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