Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures

Communications in Mathematical Physics ◽

10.1007/bf02099623 ◽

1996 ◽

Vol 180 (3) ◽

pp. 529-586 ◽

Author(s):

Oleg I. Bogoyavlenskij

Keyword(s):

Hamiltonian Systems ◽

Poisson Structures ◽

Integrable Hamiltonian Systems ◽

Tensor Invariants

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A family of separable integrable Hamiltonian systems and their classical dynamical r -matrix Poisson structures

Inverse Problems ◽

10.1088/0266-5611/12/5/018 ◽

1996 ◽

Vol 12 (5) ◽

pp. 797-809 ◽

Author(s):

Y B Zeng

Keyword(s):

Hamiltonian Systems ◽

Poisson Structures ◽

Integrable Hamiltonian Systems ◽

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Theory of Tensor Invariants of Integrable Hamiltonian Systems. II. Theorem on Symmetries and Its Applications

Communications in Mathematical Physics ◽

10.1007/s002200050062 ◽

1997 ◽

Vol 184 (2) ◽

pp. 301-365 ◽

Author(s):

Oleg I. Bogoyavlenskij

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Tensor Invariants

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Completely Integrable Hamiltonian Systems Generated by Poisson Structures in Bbb R 3

Chinese Physics Letters ◽

10.1088/0256-307x/22/11/002 ◽

2005 ◽

Vol 22 (11) ◽

pp. 2735-2737 ◽

Author(s):

Lei De-Chao ◽

Zhang Xiang

Keyword(s):

Hamiltonian Systems ◽

Poisson Structures ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely 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 ◽

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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 ◽

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 ◽

Author(s):

M.Gregory Forest ◽

Christopher G. Goedde ◽

Amarendra Sinha

Keyword(s):

Hamiltonian Systems ◽

Energy Transport ◽

Integrable Hamiltonian Systems

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Two-Photon Algebra and Integrable Hamiltonian Systems

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2001.8.s.4 ◽

2001 ◽

Vol 8 (sup1) ◽

pp. 18-22 ◽

Author(s):

Angel Ballesteros ◽

Francisco J Herranz

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

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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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Poincaré–Treshchev Mechanism in Multi-scale, Nearly Integrable Hamiltonian Systems

Journal of Nonlinear Science ◽

10.1007/s00332-017-9410-5 ◽

2017 ◽

Vol 28 (1) ◽

pp. 337-369 ◽

Author(s):

Lu Xu ◽

Yong Li ◽

Yingfei Yi

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Multi Scale ◽

Nearly Integrable Hamiltonian Systems

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