Integrable Hamiltonian Systems and Poisson Actions with Simple Singular Points

Hamiltonian Mechanics - NATO ASI Series ◽

10.1007/978-1-4899-0964-0_40 ◽

1994 ◽

pp. 377-384

Author(s):

Lev M. Lerman ◽

Yan L. Umanskii

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems ◽

Poisson Actions

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CLASSIFICATION OF FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS AND POISSON ACTIONS OF $ \mathbb{R}^2$ IN EXTENDED NEIGHBORHOODS OF SIMPLE SINGULAR POINTS. II

Sbornik Mathematics ◽

10.1070/sm1994v078n02abeh003481 ◽

1994 ◽

Vol 78 (2) ◽

pp. 479-506 ◽

Cited By ~ 9

Author(s):

L M Lerman ◽

Ya L Umanskiĭ

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems ◽

Poisson Actions

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CLASSIFICATION OF FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS AND POISSON ACTIONS OF $ \mathbb{R}^2$ IN EXTENDED NEIGHBORHOODS OF SIMPLE SINGULAR POINTS. I

Sbornik Mathematics ◽

10.1070/sm1994v077n02abeh003454 ◽

1994 ◽

Vol 77 (2) ◽

pp. 511-542 ◽

Cited By ~ 14

Author(s):

L M Lerman ◽

Ya L Umanskiĭ

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems ◽

Poisson Actions

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Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $ \mathbb R^2$ in extended neighbourhoods of simple singular points. III. Realization

Sbornik Mathematics ◽

10.1070/sm1995v186n10abeh000080 ◽

1995 ◽

Vol 186 (10) ◽

pp. 1477-1491 ◽

Cited By ~ 8

Author(s):

L M Lerman ◽

Ya L Umanskii

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems ◽

Poisson Actions

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Four-Dimensional Integrable Hamiltonian Systems with Simple Singular Points (Topological Aspects)

10.1090/mmono/176 ◽

1998 ◽

Cited By ~ 8

Author(s):

L. Lerman ◽

Ya. Umanskiy

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems

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Application of classification theory for integrable Hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mapping near singular points

Journal of Mathematical Sciences ◽

10.1007/bf02363855 ◽

1996 ◽

Vol 78 (5) ◽

pp. 542-555 ◽

Cited By ~ 6

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Hamiltonian Systems ◽

Topological Structure ◽

Singular Points ◽

Classification Theory ◽

Geodesic Flows ◽

Momentum Mapping ◽

Integrable Hamiltonian Systems

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Four-Dimensional Integrable Hamiltonian Systems with Simple Singular Points

Seminar on Dynamical Systems ◽

10.1007/978-3-0348-7515-8_19 ◽

1994 ◽

pp. 253-260

Author(s):

L. M. Lerman ◽

Ja. L. Umanskii

Keyword(s):

Hamiltonian Systems ◽

Singular Points ◽

Integrable Hamiltonian Systems

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Finite-dimensional Liouville integrable Hamiltonian systems generated from Lax pairs of a bi-Hamiltonian soliton hierarchy by symmetry constraints

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.09.016 ◽

2018 ◽

Vol 57 ◽

pp. 125-135

Author(s):

Solomon Manukure

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Lax Pairs ◽

Finite Dimensional ◽

Soliton Hierarchy ◽

Symmetry Constraints ◽

Liouville Integrable

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Transverse Foliations to Nonsingular Morse–Smale Flows on the 3-Sphere and Bott-Integrable Hamiltonian Systems

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-008-0023-0 ◽

2008 ◽

Vol 7 (2) ◽

pp. 411-415

Author(s):

Michael C. Sullivan

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Smale Flows

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Three integrable Hamiltonian systems connected with isospectral deformations

Advances in Mathematics ◽

10.1016/0001-8708(75)90151-6 ◽

1975 ◽

Vol 16 (2) ◽

pp. 197-220 ◽

Cited By ~ 700

Author(s):

J Moser

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems

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Effects of symmetry on instability-driven chaotic energy transport in near-integrable, Hamiltonian systems

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(94)00022-0 ◽

1994 ◽

Vol 37 (4-5) ◽

pp. 323-339 ◽

Cited By ~ 1

Author(s):

M.Gregory Forest ◽

Christopher G. Goedde ◽

Amarendra Sinha

Keyword(s):

Hamiltonian Systems ◽

Energy Transport ◽

Integrable Hamiltonian Systems

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