Morse-type theory for integrable Hamiltonian systems with tame integrals

DOI10.1007/BF01158846zbMath0694.58019MaRDI QIDQ909310

A. T. Fomenko, Sergey V. Matveev

Publication date: 1988

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

zbMATH Keywords

periodic solutionsintegrable Hamiltonian systemMorse-type theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (8)

The topology of Bott integrable fluids ⋮ Special framed Morse functions on surfaces ⋮ Classification of singularities of the Liouville foliation of an integrable elliptical Billiard with a potential of fourth degree ⋮ Billiards bounded by arcs of confocal quadrics on the Minkowski plane ⋮ Geometry, dynamics and different types of orbits ⋮ Polyhedron complexes with simply transitive group actions and their realizations ⋮ On the homotopy type of spaces of Morse functions on surfaces ⋮ Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom.

Cites Work

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• ROUND MORSE FUNCTIONS AND ISOENERGY SURFACES OF INTEGRABLE HAMILTONIAN SYSTEMS
• Concentricity in 3-Manifolds

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