Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations

Jaume Llibre; Ana Nunes

doi:10.1090/memo/0513

Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations

Memoirs of the American Mathematical Society ◽

10.1090/memo/0513 ◽

1994 ◽

Vol 107 (513) ◽

pp. 0-0 ◽

Cited By ~ 1

Author(s):

Jaume Llibre ◽

Ana Nunes

Keyword(s):

Hamiltonian Systems ◽

Invariant Manifolds ◽

Integrable Hamiltonian Systems

Download Full-text

An extension of the Poincaré-Fermi theorem on the nonexistence of invariant manifolds in nearly integrable Hamiltonian systems

Il Nuovo Cimento B ◽

10.1007/bf02829400 ◽

1982 ◽

Vol 72 (2) ◽

pp. 137-148 ◽

Cited By ~ 13

Author(s):

G. Benettin ◽

G. Ferrari ◽

L. Galgani ◽

A. Giorgilli

Keyword(s):

Hamiltonian Systems ◽

Invariant Manifolds ◽

Integrable Hamiltonian Systems ◽

Nearly Integrable Hamiltonian Systems

Download Full-text

On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems

Memoirs of the American Mathematical Society ◽

10.1090/memo/0775 ◽

2003 ◽

Vol 163 (775) ◽

pp. 0-0 ◽

Cited By ~ 17

Author(s):

P. Lochak ◽

J.-P. Marco ◽

D. Sauzin

Keyword(s):

Hamiltonian Systems ◽

Invariant Manifolds ◽

Integrable Hamiltonian Systems ◽

Splitting Of Invariant Manifolds

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 3

Author(s):

Angel Ballesteros ◽

Francisco J Herranz

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Two Photon

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 6

Author(s):

Lu Xu ◽

Yong Li ◽

Yingfei Yi

Keyword(s):

Hamiltonian Systems ◽

Integrable Hamiltonian Systems ◽

Multi Scale ◽

Nearly Integrable Hamiltonian Systems

Download Full-text

Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Physics Letters A ◽

10.1016/s0375-9601(02)00956-8 ◽

2002 ◽

Vol 301 (1-2) ◽

pp. 53-57 ◽

Cited By ~ 6

Author(s):

G. Giachetta ◽

L. Mangiarotti ◽

G. Sardanashvily

Keyword(s):

Hamiltonian Systems ◽

Geometric Quantization ◽

Integrable Hamiltonian Systems ◽

Completely Integrable ◽

Completely Integrable Hamiltonian Systems

Download Full-text